% % reference list for article lrr-2007-2 created at 2013-06-19T09:15:22 % % note: the URLs in this bibtex database may contain characters which will be % interpreted incorrectly by tex, unless used as argument of a \url command (or % an equivalent). @article{DSX91, adsurl = {http://adsabs.harvard.edu/abs/1991PhRvD..43.3273D}, author = {Damour, T. and Soffel, M. and Xu, C.}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion}, pages = {3273--3307}, title = {General-relativistic celestial mechanics. I. Method and definition of reference systems}, volume = {43}, year = {1991} } @article{DSX92, adsurl = {http://adsabs.harvard.edu/abs/1992PhRvD..45.1017D}, author = {Damour, T. and Soffel, M. and Xu, C.}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion}, pages = {1017--1044}, title = {General-relativistic celestial mechanics. II. Translational equations of motion}, volume = {45}, year = {1992} } @article{DSX93, adsurl = {http://adsabs.harvard.edu/abs/1993PhRvD..47.3124D}, author = {Damour, T. and Soffel, M. and Xu, C.}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion}, pages = {3124--3135}, title = {General-relativistic celestial mechanics. III. Rotational equations of motion}, volume = {47}, year = {1993} } @article{DSX94, adsurl = {http://adsabs.harvard.edu/abs/1994PhRvD..49..618D}, author = {Damour, T. and Soffel, M. and Xu, C.}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion}, pages = {618--635}, title = {General-relativistic celestial mechanics. IV. Theory of satellite motion}, volume = {49}, year = {1994} } @article{DD81c, author = {Damour, T. and Deruelle, N.}, journal = {C. R. Acad. Sci. Ser. II}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {877--880}, title = {Lois de conservation d'un syst\`eme de deux masses ponctuelles en relativit\'e g\'en\'erale}, volume = {293}, year = {1981} } @article{Damour82, author = {Damour, T.}, journal = {C. R. Acad. Sci. Ser. II}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {1355--1357}, title = {Probl\`eme des deux corps et freinage de rayonnement en relativit\'e g\'en\'erale}, volume = {294}, year = {1982} } @article{DD81b, author = {Damour, T. and Deruelle, N.}, journal = {C. R. Acad. Sci. Ser. II}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {537--540}, title = {Lagrangien g\'en\'eralis\'e du syst\`eme de deux masses ponctuelles, \`a l'approximation post-post-newtonienne de la relativit\'e g\'en\'erale}, volume = {293}, year = {1981} } @incollection{Damour87, address = {Cambridge; New York}, adsurl = {http://adsabs.harvard.edu/abs/1987thyg.book..128D}, author = {Damour, T.}, booktitle = {Three Hundred Years of Gravitation}, editor = {Hawking, S.W. and Israel, W.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {128--198}, publisher = {Cambridge University Press}, title = {The problem of motion in Newtonian and Einsteinian gravity}, year = {1987} } @inproceedings{Damour83, address = {Amsterdam, Netherlands; New York, U.S.A.}, author = {Damour, T.}, booktitle = {Gravitational Radiation}, conference = {NATO Advanced Study Institute, Centre de Physique des Houches, France, 2\,--\,21 June, 1982}, editor = {Deruelle, N. and Piran, T.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {59--144}, publisher = {North-Holland; Elsevier}, title = {Gravitational radiation and the motion of compact bodies}, year = {1983} } @inproceedings{Damour86, address = {New York, U.S.A.}, author = {Damour, T.}, booktitle = {Gravitation in Astrophysics: Carg\`{e}se 1986}, conference = {Proceedings of a NATO Advanced Study Institute on Gravitation in Astrophysics, Carg\'{e}se, France, 15\,--\,31 July, 1986}, editor = {Carter, B. and Hartle, J.B.}, keywords = {Gravitational radiation, Equations of motion}, pages = {3--62}, publisher = {Plenum Press}, series = {NATO ASI Series B}, title = {An Introduction to the Theory of Gravitational Radiation}, volume = {156}, year = {1987} } @article{DD81a, author = {Damour, T. and Deruelle, N.}, doi = {10.1016/0375-9601(81)90567-3}, journal = {Phys. Lett. A}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {81--84}, title = {Radiation reaction and angular momentum loss in small angle gravitational scattering}, volume = {87}, year = {1981} } @article{BDDIM81, author = {Bel, L. and Deruelle, N. and Damour, T. and Ib{\'{a}}{\~{n}}ez, J. and Martin, J.}, doi = {10.1007/BF00756073}, journal = {Gen. Relativ. Gravit.}, keywords = {Post-Minkowskian approximations, Equations of motion, Gravitational radiation}, pages = {963--1004}, title = {Poincar\'e-Invariant Gravitational Field and Equations of Motion of two Pointlike Objects: The Postlinear Approximation of General Relativity}, volume = {13}, year = {1981} } @article{Blanchet:2005tk, author = {Blanchet, L. and Damour, T. and Esposito-Far{\`{e}}se, G. and Iyer, B.R.}, cited = {7 March 2006}, doi = {10.1103/PhysRevD.71.124004}, eid = {124004}, eprint = {gr-qc/0503044}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0503044}, title = {Dimensional regularization of the third post-Newtonian gravitational wave generation from two point masses}, volume = {71}, year = {2005} } @article{Nissanke:2004er, author = {Nissanke, S. and Blanchet, L.}, cited = {7 March 2006}, doi = {10.1088/0264-9381/22/6/008}, journal = {Class. Quantum Grav.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0412018}, pages = {1007--1031}, title = {Gravitational radiation reaction in the equations of motion of compact binaries to 3.5 post-Newtonian order}, volume = {22}, year = {2005} } @article{Blanchet:2004bb, author = {Blanchet, L. and Iyer, B.R.}, cited = {7 March 2006}, eid = {024004}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0409094}, pages = {1--20}, title = {Hadamard regularization of the third post-Newtonian gravitational wave generation of two point masses}, volume = {71}, year = {2005} } @article{Blanchet:2004ek, author = {Blanchet, L. and Damour, T. and Esposito-Far{\`{e}}se, G. and Iyer, B.R.}, cited = {7 March 2006}, doi = {10.1103/PhysRevLett.93.091101}, eid = {091101}, journal = {Phys. Rev. Lett.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0406012}, pages = {1--4}, title = {Gravitational radiation from inspiralling compact binaries completed at the third post-Newtonian order}, volume = {93}, year = {2004} } @article{BDEF03, author = {Blanchet, L. and Damour, T. and Esposito-Far{\`{e}}se, G.}, cited = {7 March 2006}, doi = {10.1103/PhysRevD.69.124007}, eid = {124007}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0311052}, pages = {1--51}, title = {Dimensional regularization of the third post-Newtonian dynamics of point particles in harmonic coordinates}, volume = {69}, year = {2004} } @article{Blanchet:2002av, adsurl = {http://adsabs.harvard.edu/abs/2006LRR.....9....4B}, author = {Blanchet, L.}, cited = {3 August 2006}, eid = {lrr-2006-4}, journal = {Living Rev. Relativity}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, title = {Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries}, url = {http://www.livingreviews.org/lrr-2006-4}, volume = {9}, year = {2006} } @article{Blanchet:2001ax, author = {Blanchet, L. and Faye, G. and Iyer, B.R. and Joguet, B.}, cited = {7 March 2006}, doi = {10.1103/PhysRevD.65.061501}, eid = {061501(R)}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0105099}, pages = {1--5}, title = {Gravitational-wave inspiral of compact binariy systems to 7/2 post-Newtonian order}, volume = {65}, year = {2002} } @article{Blanchet:2001aw, author = {Blanchet, L. and Iyer, B.R. and Joguet, B.}, cited = {7 March 2006}, doi = {10.1103/PhysRevD.65.064005}, eid = {064005}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0105098}, pages = {1--41}, title = {Gravitational waves from inspiralling compact binaries: Energy loss to third post-Newtonian order}, volume = {65}, year = {2002} } @incollection{Blanchet2000LNP, address = {Berlin, Germany; New York, U.S.A.}, author = {Blanchet, L.}, booktitle = {Einstein's Field Equations and Their Physical Implications: Selected Essays in Honour of J\"urgen Ehlers}, cited = {7 March 2006}, editor = {Schmidt, B.G.}, gbs_id = {vjjAvE{\_}iXnkC}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0004012}, pages = {225--271}, publisher = {Springer}, series = {Lecture Notes in Physics}, title = {Post-Newtonian Gravitational Radiation}, volume = {540}, year = {2000} } @article{BlanchetSchafer93, author = {Blanchet, L. and Sch{\"{a}}fer, G.}, doi = {10.1088/0264-9381/10/12/026}, journal = {Class. Quantum Grav.}, keywords = {Gravitational radiation, Binary systems, Post-Newtonian approximations}, pages = {2699--2721}, title = {Gravitational wave tails and binary star systems}, volume = {10}, year = {1993} } @article{ABF01, author = {de Andrade, V.C. and Blanchet, L. and Faye, G.}, cited = {7 March 2006}, doi = {10.1088/0264-9381/18/5/301}, journal = {Class. Quantum Grav.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0011063}, pages = {753--778}, title = {Third post-Newtonian dynamics of compact binaries: Noetherian conserved quantities and equivalence between the harmonic-coordinate and ADM-Hamiltonian formalisms}, volume = {18}, year = {2001} } @article{BF01a, author = {Blanchet, L. and Faye, G.}, cited = {7 March 2006}, doi = {10.1103/PhysRevD.63.062005}, eid = {062005}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0007051}, pages = {1--43}, title = {General relativistic dynamics of compact binaries at the third post-Newtonian order}, volume = {63}, year = {2001} } @article{BF01b, author = {Blanchet, L. and Faye, G.}, cited = {7 March 2006}, doi = {10.1063/1.1384864}, journal = {J. Math. Phys.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0006100}, pages = {4391--4418}, title = {Lorentzian regularization and the problem of point-like particles in general relativity}, volume = {42}, year = {2001} } @article{BF00a, author = {Blanchet, L. and Faye, G.}, cited = {7 March 2006}, doi = {10.1016/S0375-9601(00)00360-1}, journal = {Phys. Lett. A}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0004009}, pages = {58--64}, title = {Equations of motion of point-particle binaries at the third post-Newtonian order}, volume = {271}, year = {2000} } @article{BF00b, author = {Blanchet, L. and Faye, G.}, cited = {7 March 2006}, doi = {10.1063/1.1308506}, journal = {J. Math. Phys.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0004008}, pages = {7675--7714}, title = {Hadamard regularization}, volume = {41}, year = {2000} } @article{BFP, author = {Blanchet, L. and Faye, G. and Ponsot, B.}, cited = {7 March 2006}, eid = {124002}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/9804079}, pages = {1--20}, title = {Gravitational field and equations of motion of compact binaries to 5/2 post-Newtonian order}, volume = {58}, year = {1998} } @article{Blanchet:1996vx, author = {Blanchet, L.}, cited = {7 March 2006}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/9609049}, pages = {714--732}, title = {Gravitational radiation reaction and balance equations to post-Newtonian order}, volume = {55}, year = {1997} } @inproceedings{Blanchet:1996yd, address = {Cambridge}, author = {Blanchet, L.}, booktitle = {Relativistic Gravitation and Gravitational Radiation}, cited = {7 March 2006}, conference = {Proceedings of the Les Houches School of Physics, held in Les Houches, Haute Savoie, 26 September\,--\,6 October, 1995}, editor = {Marck, J.-A. and Lasota, J.P.}, eprint = {gr-qc/9607025}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/9607025}, pages = {33--66}, publisher = {Cambridge University Press}, title = {Gravitational Radiation from Relativistic Sources}, year = {1997} } @article{BD89, author = {Blanchet, L. and Damour, T.}, journal = {Ann. Inst. Henri Poincare A}, keywords = {Post-Minkowskian approximations, Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {377--408}, title = {Post-Newtonian generation of gravitational waves}, volume = {50}, year = {1989} } @article{BD88, author = {Blanchet, L. and Damour, T.}, journal = {Phys. Rev. D}, keywords = {Post-Minkowskian approximations, Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {1410--1435}, title = {Tail-transported temporal correlations in the dynamics of a gravitating system}, volume = {37}, year = {1988} } @incollection{Lorentz:1917, address = {The Hague, Netherlands}, author = {Lorentz, H.A. and Droste, J.}, booktitle = {The Collected Papers of H.A. Lorentz, Vol. 5}, editor = {Zeeman, P. and Fokker, A.D.}, keywords = {Equations of motion, Post-Newtonian approximations}, note = {English translation of {\it Versl.\ K.\ Akad.\ Wet.\ Amsterdam}, {\bf 26}, 392 and 649, (1917)}, pages = {330--355}, publisher = {Nijhoff}, title = {The motion of a system of bodies under the influence of their mutual attraction, according to Einstein's theory}, year = {1937} } @article{sw, author = {Stewart, J.M. and Walker, M.}, journal = {Proc. R. Soc. London, Ser. A}, keywords = {General relativity}, pages = {49--74}, title = {Perturbations of space-times in general relativity}, volume = {341}, year = {1974} } @article{DB, author = {DeWitt, B.S. and Brehme, R.W.}, doi = {10.1016/0003-4916(60)90030-0}, journal = {Ann. Phys. (N.Y.)}, keywords = {Radiation reaction, Electromagnetism}, pages = {220--259}, title = {Radiation Damping in a Gravitational Field}, volume = {9}, year = {1960} } @article{DW, archiveprefix = {arXiv}, author = {Detweiler, S. and Whiting, B.F.}, cited = {23 March 2006}, doi = {10.1103/PhysRevD.67.024025}, eid = {024025}, eprint = {gr-qc/0202086}, journal = {Phys. Rev. D}, keywords = {Radiation reaction, Gravitational radiation, Equations of motion}, onlineversion = {http://arXiv.org/abs/gr-qc/0202086}, title = {Self-force via a Green's function decomposition}, volume = {67}, year = {2003} } @article{Anderson, author = {Anderson, J.D. and Williams, J.G.}, journal = {Class. Quantum Grav.}, keywords = {General relativity, Experimental tests of relativistic gravity}, pages = {2447--2456}, title = {Long-range tests of the equivalence principle}, volume = {18}, year = {2001} } @article{geroch, author = {Geroch, R.}, doi = {10.1007/BF01645486}, journal = {Commun. Math. Phys.}, keywords = {General relativity}, pages = {180--193}, title = {Limits of Spacetimes}, volume = {13}, year = {1969} } @article{Fock:1939, author = {Fock, V.A.}, journal = {J. Phys. (Moscow)}, keywords = {Equations of motion, General relativity}, number = {2}, pages = {81--116}, title = {On motion of finite masses in general relativity}, volume = {1}, year = {1939} } @book{Fock, address = {London, U.K.}, author = {Fock, V.A.}, keywords = {General relativity}, publisher = {Pergamon Press}, title = {Theory of space, time and gravitation}, year = {1959} } @article{GK, author = {Grishchuk, L.P. and Kopeikin, S.M.}, journal = {Sov. Astron. Lett.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {230--232}, title = {The motion of a pair of gravitating bodies, including the radiation reaction force}, volume = {9}, year = {1983} } @article{KFS2003, author = {K{\"{o}}nigsd{\"{o}}rffer, C. and Faye, G. and Sch{\"{a}}fer, G.}, cited = {12 December 2006}, doi = {10.1103/PhysRevD.68.044004}, eid = {044004}, journal = {Phys. Rev. D}, keywords = {Equations of motion, Post-Newtonian approximations, ADM formalism, Radiation reaction}, onlineversion = {http://arXiv.org/abs/gr-qc/0305048}, pages = {1--19}, title = {Binary black-hole dynamics at the third-and-a-half post-Newtonian order in the ADM formalism}, volume = {68}, year = {2003} } @article{Kopejkin, author = {Kopeikin, S.M.}, journal = {Sov. Astron.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {516--523}, title = {General-relativistic equations of binary motion for extended bodies, with conservative corrections and radiation damping}, volume = {29}, year = {1985} } @article{TH, author = {Thorne, K.S. and Hartle, J.B.}, doi = {10.1103/PhysRevD.31.1815}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation, Multipole expansions, Matched asymptotic expansion}, pages = {1815--1837}, title = {Laws of motion and precession for black holes and other bodies}, volume = {31}, year = {1985} } @article{Schafer85, author = {Sch{\"{a}}fer, G.}, doi = {10.1016/0003-4916(85)90337-9}, journal = {Ann. Phys. (N.Y.)}, keywords = {Equations of motion, ADM formalism}, pages = {81--100}, title = {The Gravitational Quadrupole Radiation-Reaction Force and the Canonical Formalism of ADM}, volume = {161}, year = {1985} } @article{Schafer87, author = {Sch{\"{a}}fer, G.}, doi = {10.1016/0375-9601(87)90389-6}, journal = {Phys. Lett. A}, keywords = {Post-Newtonian approximations, ADM formalism, Gravitational radiation}, pages = {336--339}, title = {Three-body hamiltonian in general relativity}, volume = {123}, year = {1987} } @article{OOKH73, author = {Ohta, T. and Okamura, H. and Kimura, T. and Hiida, K.}, doi = {10.1143/PTP.50.492}, journal = {Prog. Theor. Phys.}, keywords = {Equations of motion, ADM formalism, Post-Newtonian approximations}, pages = {492--514}, title = {Physically acceptable solution of Eintein's equation for many-body system}, volume = {50}, year = {1973} } @article{OOKH74a, author = {Ohta, T. and Okamura, H. and Kimura, T. and Hiida, K.}, doi = {10.1143/PTP.51.1220}, journal = {Prog. Theor. Phys.}, keywords = {Equations of motion, ADM formalism, Post-Newtonian approximations}, pages = {1220--1238}, title = {Higher-order gravitational potential for many-body system}, volume = {51}, year = {1974} } @article{GII, author = {Gopakumar, A. and Iyer, B.R. and Iyer, S.}, cited = {7 March 2006}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/9703075}, pages = {6030--6053}, title = {Second post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies}, volume = {55}, year = {1997} } @article{GIIe, author = {Gopakumar, A. and Iyer, B.R. and Iyer, S.}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {6562}, title = {Erratum: Second post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies}, volume = {57}, year = {1998} } @article{Apost95, author = {Apostolatos, T.A.}, doi = {10.1103/PhysRevD.52.605}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {605--620}, title = {Search templates for gravitational waves from precessing, inspiraling binaries}, volume = {52}, year = {1995} } @article{Apost94, author = {Apostolatos, T.A. and Cutler, C. and Sussman, G.J. and Thorne, K.S.}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {6274--6297}, title = {Spin induced orbital precession and its modulation of the gravitational wave forms from merging binaries}, volume = {49}, year = {1994} } @article{Apost96a, author = {Apostolatos, T.A.}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {2421--2437}, title = {Construction of a template family for the detection of gravitational waves from coalescing binaries}, volume = {54}, year = {1996} } @article{Apost96b, author = {Apostolatos, T.A.}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {2438--2441}, title = {The Influence of spin spin coupling on inspiraling compact binaries with $M_1 = M_2$ and $S_1 = S_2$}, volume = {54}, year = {1996} } @article{OOKH74b, author = {Ohta, T. and Okamura, H. and Kimura, T. and Hiida, K.}, doi = {10.1143/PTP.51.1598}, journal = {Prog. Theor. Phys.}, keywords = {Post-Newtonian approximations, ADM formalism, Equations of motion}, pages = {1598--1612}, title = {Coordinate Condition and Higher Order Gravitational Potential in Canocical Formalism}, volume = {51}, year = {1974} } @article{Dautcourt, author = {Dautcourt, G.}, cited = {7 March 2006}, doi = {10.1088/0264-9381/14/1A/009}, journal = {Class. Quantum Grav.}, keywords = {Post-Newtonian approximations, Newton-Cartan theory}, onlineversion = {http://arXiv.org/abs/gr-qc/9610036}, pages = {A109--A118}, title = {Post-Newtonian extension of the Newton-Cartan theory}, volume = {14}, year = {1997} } @article{Rendall, author = {Rendall, A.D.}, journal = {Proc. R. Soc. London, Ser. A}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {341--360}, title = {On the definition of post-Newtonian approximations}, volume = {438}, year = {1992} } @inproceedings{Schutz:2001re, address = {Berlin, Germany; New York, U.S.A.}, author = {Schutz, B.F.}, booktitle = {Lighthouses of the Universe: The Most Luminous Celestial Objects and Their Use for Cosmology}, cited = {7 March 2006}, conference = {Proceedings of the MPA/ESO/MPE/USM Joint Astronomy Conference held in Garching, Germany, 6\,--\,10 August\, 2001}, editor = {Gilfanov, M. and Sunyaev, R.A. and Churazov, E.}, keywords = {Gravitational wave observations, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0111095}, publisher = {Springer}, title = {Lighthouses of gravitational wave astronomy}, year = {2002} } @article{AB, author = {Ashby, N. and Bertotti, B.}, doi = {10.1103/PhysRevD.34.2246}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {2246--2258}, title = {Relativistic Effects in Local Inertial Frames}, volume = {34}, year = {1986} } @article{Ajith:2004ys, author = {Ajith, P. and Iyer, B.R. and Robinson, C.A.K. and Sathyaprakash, B.S.}, cited = {7 March 2006}, eid = {044029}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0412033}, title = {A new class of post-Newtonian approximants to the dynamics of inspiralling compact binaries: Test-mass in the Schwarzschild spacetime}, volume = {71}, year = {2005} } @article{Ajith:2004ysE, author = {Ajith, P. and Iyer, B.R. and Robinson, C.A.K. and Sathyaprakash, B.S.}, eid = {049902}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Gravitational radiation}, title = {Erratum: A new class of post-Newtonian approximants to the dynamics of inspiralling compact binaries: Test-mass in the Schwarzschild spacetime}, volume = {72}, year = {2005} } @article{Arun:2004hn, author = {Arun, K.G. and Iyer, B.R. and Sathyaprakash, B.S. and Sundararajan, P.A.}, cited = {7 March 2006}, doi = {10.1103/PhysRevD.71.084008}, eid = {084008}, eprint = {gr-qc/0411146}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Gravitational radiation}, numpages = {16}, onlineversion = {http://arXiv.org/abs/gr-qc/0411146}, title = {Parameter estimation of inspiralling compact binaries using 3.5 post-Newtonian gravitational wave phasing: The nonspinning case}, volume = {71}, year = {2005} } @inproceedings{Cutler:2002, address = {Singapore; River Edge, U.S.A.}, author = {Cutler, C. and Thorne, K.S.}, booktitle = {General Relativity and Gravitation}, cited = {7 March 2006}, conference = {Proceedings of the 16th International Conference on General Relativity and Gravitation, Durban, South Africa, 15\,--\,21 July, 2001}, editor = {Bishop, N.T. and Maharaj, S.D.}, keywords = {Gravitational wave observations, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0204090}, pages = {72--111}, publisher = {World Scientific}, title = {An Overview of Gravitational-Wave Sources}, year = {2002} } @article{Burgay2003, adsurl = {http://adsabs.harvard.edu/abs/2003Natur.426..531B}, archiveprefix = {arXiv}, author = {Burgay, M. and D'Amico, N. and Possenti, A. and Manchester, R.N. and Lyne, A.G. and Joshi, B.C. and McLaughlin, M.A. and Kramer, M. and Sarkissian, J.M. and Camilo, F. and Kalogera, V. and Kim, C. and Lorimer, D.R.}, doi = {10.1038/nature02124}, eprint = {astro-ph/0312071}, journal = {Nature}, keywords = {Binary pulsars, Gravitational radiation}, pages = {531--533}, primaryclass = {astro-ph}, title = {An increased estimate of the merger rate of double neutron stars from observations of a highly relativistic system}, volume = {426}, year = {2003} } @article{Kalogera2004a, author = {Kalogera, V. and Kim, C. and Lorimer, D.R. and Burgay, M. and D'Amico, N. and Possenti, A. and Manchester, R.N. and Lyne, A.G. and Joshi, B.C. and McLaughlin, M.A. and Kramer, M. and Sarkissian, J.M. and Camilo, F.}, doi = {10.1086/382155}, journal = {Astrophys. J. Lett.}, keywords = {Binary pulsars, Gravitational radiation}, pages = {L179--L182}, title = {The Cosmic Coalescence Rates for Double Neutron Star Binaries}, volume = {601}, year = {2004} } @article{Kalogera2004b, author = {Kalogera, V. and Kim, C. and Lorimer, D.R. and Burgay, M. and D'Amico, N. and Possenti, A. and Manchester, R.N. and Lyne, A.G. and Joshi, B.C. and McLaughlin, M.A. and Kramer, M. and Sarkissian, J.M. and Camilo, F.}, doi = {10.1086/425868}, eprint = {astro-ph/0312101}, journal = {Astrophys. J. Lett.}, keywords = {Binary pulsars, Gravitational radiation}, pages = {L137--L138}, title = {Erratum: `The Cosmic Coalescence Rates for Double Neutron Star Binaries'}, volume = {614}, year = {2004} } @article{Einstein:1915bz, author = {Einstein, A.}, journal = {Sitzungsber. Preuss. Akad. Wiss.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {831--839}, title = {Explanation of the Perihelion Motion of Mercury from the General Theory of Relativity}, volume = {1915}, year = {1915} } @article{EIH, author = {Einstein, A. and Infeld, L. and Hoffmann, B.}, doi = {10.2307/1968714}, journal = {Ann. Math.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {65--100}, title = {The Gravitational Equations and the Problem of Motion}, volume = {39}, year = {1938} } @article{BT1976, author = {Blandford, R.D. and Teukolsky, S.A.}, doi = {10.1086/154315}, journal = {Astrophys. J.}, keywords = {Gravitational radiation}, pages = {580--591}, title = {Arrival-time analysis for a pulsar in a binary system}, volume = {205}, year = {1976} } @inproceedings{Danzmann1992, address = {Berlin, Germany; New York, U.S.A.}, author = {Danzmann, K. et~al.}, booktitle = {Relativistic Gravity Research with Emphasis on Experiments and Observations}, conference = {Proceedings of the 81 WE-Heraeus-Seminar held at the Physikzentrum, Bad Honnef, Germany, 2\,--\,6 September, 1991}, editor = {Ehlers, J. and Sch{\"{a}}fer, G.}, keywords = {Gravitational wave detectors, Gravitational radiation}, pages = {184--209}, publisher = {Springer}, series = {Lecture Notes in Physics}, title = {The GEO-Project. A Long-Baseline Laser Interferometer for the Detection of Gravitational Waves}, volume = {410}, year = {1992} } @article{Chandrasekhar:1970, author = {Chandrasekhar, S. and Esposito, F.P.}, doi = {10.1086/150414}, journal = {Astrophys. J.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation, Hydrodynamics}, pages = {153--179}, title = {The $2\frac{1}{2}$-Post-Newtonian Equations of Hydrodynamics and Radiation Reaction in General Relativity}, volume = {160}, year = {1970} } @article{Chandrasekhar:1969b, author = {Chandrasekhar, S. and Nutku, Y.}, doi = {10.1086/150171}, journal = {Astrophys. J.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation, Hydrodynamics}, pages = {55--79}, title = {The Second Post-Newtonian Equations of Hydrodynamics in General Relativity}, volume = {158}, year = {1969} } @article{Chandrasekhar:1969a, author = {Chandrasekhar, S.}, doi = {10.1086/150170}, journal = {Astrophys. J.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation, Hydrodynamics}, pages = {45}, title = {Conservation Laws in General Relativity and in the Post-Newtonian Approximations}, volume = {158}, year = {1969} } @article{Chandrasekhar:1965, author = {Chandrasekhar, S.}, doi = {10.1086/148432}, journal = {Astrophys. J.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation, Hydrodynamics}, pages = {1488--1540}, title = {The Post-Newtonian Equations of Hydrodynamics in General Relativity}, volume = {142}, year = {1965} } @article{Epstein1977, adsurl = {http://adsabs.harvard.edu/abs/1977ApJ...216...92E}, author = {Epstein, R.}, doi = {10.1086/155449}, journal = {Astrophys. J.}, keywords = {Post-Newtonian approximations, Equations of motion, Binary pulsars, Gravitational radiation}, pages = {92--100}, title = {The binary pulsar: Post-Newtonian timing effects}, volume = {216}, year = {1977} } @article{HT1975, adsurl = {http://adsabs.harvard.edu/abs/1975ApJ...195L..51H}, author = {Hulse, R.A. and Taylor, J.H.}, doi = {10.1086/181708}, journal = {Astrophys. J.}, keywords = {Binary pulsars, Gravitational radiation}, pages = {L51--L53}, title = {Discovery of a pulsar in a binary system}, volume = {195}, year = {1975} } @article{DT1991, adsurl = {http://adsabs.harvard.edu/abs/1991ApJ...366..501D}, author = {Damour, T. and Taylor, J.H.}, doi = {10.1086/169585}, journal = {Astrophys. J.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {501--511}, title = {On the Orbital Period Change of the Binary Pulsar PSR 1913+16}, volume = {366}, year = {1991} } @article{Ehlers:1976ji, author = {Ehlers, J. and Rosenblum, A. and Goldberg, J.N. and Havas, P.}, doi = {10.1086/182236}, journal = {Astrophys. J. Lett.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {L77--L81}, title = {Comments on gravitational radiation damping and energy loss in binary systems}, volume = {208}, year = {1976} } @article{Anderson:1975, author = {Anderson, J.L. and DeCanio, T.C.}, doi = {10.1007/BF00769986}, journal = {Gen. Relativ. Gravit.}, keywords = {Post-Newtonian approximations, Hydrodynamics, Equations of motion, Gravitational radiation}, pages = {197--237}, title = {Equations of hydrodynamics in general relativity in the slow motion approximation}, volume = {6}, year = {1975} } @article{Isaacson1984, author = {Isaacson, R.A. and Welling, J.S. and Winicour, J.}, doi = {10.1103/PhysRevLett.53.1870}, journal = {Phys. Rev. Lett.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {1870--1872}, title = {Extension of the Einstein quadrupole formula}, volume = {53}, year = {1984} } @inproceedings{Walker:1984, address = {Singapore}, author = {Walker, M.}, booktitle = {Relativistic Astrophysics and Cosmology, Vol. 1}, conference = {Proceedings of the Sir Arthur Eddington Centenary Symposium, Nagpur, India}, editor = {de Sabbata, V. and Karade, T.M.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {99--134}, publisher = {World Scientific}, title = {Isolated Systems in Relativistic Gravity}, year = {1984} } @article{Kates:1980a, author = {Kates, R.E.}, doi = {10.1103/PhysRevD.22.1853}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Matched asymptotic expansion, Equations of motion, Gravitational radiation}, pages = {1853--1870}, title = {Motion of a small body through an external field in general relativity calculated by matched asymptotic expansions}, volume = {22}, year = {1980} } @article{Kates:1980kr, author = {Kates, R.E.}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Matched asymptotic expansion, Equations of motion, Gravitational radiation}, pages = {1871--1878}, title = {Gravitational radiation damping of a binary system containing compact objects calculated using matched asymptotic expansions}, volume = {22}, year = {1980} } @article{Kerlick:1980a, author = {Kerlick, G.D.}, journal = {Gen. Relativ. Gravit.}, keywords = {Post-Newtonian approximations, Hydrodynamics, Equations of motion, Gravitational radiation}, pages = {467--482}, title = {Finite reduced hydrodynamic equations in the slow-motion approximation to general relativity. Part I. First post-Newtonian equations}, volume = {12}, year = {1980} } @article{Kerlick:1980b, author = {Kerlick, G.D.}, doi = {10.1007/BF00756528}, journal = {Gen. Relativ. Gravit.}, keywords = {Post-Newtonian approximations, Hydrodynamics, Equations of motion, Gravitational radiation}, pages = {521--543}, title = {Finite reduced hydrodynamic equations in the slow-motion approximation to general relativity. Part II. Radiation reaction and higher-order divergent terms}, volume = {12}, year = {1980} } @article{Abramovici:1992ah, adsurl = {http://adsabs.harvard.edu/abs/1992Sci...256..325A}, author = {Abramovici, A. and Althouse, W.E. and Drever, R.W.P. and Gursel, Y. and Kawamura, S. and Raab, F.J. and Shoemaker, D. and Sievers, L. and Spero, R.E. and Thorne, K.S.}, doi = {10.1126/science.256.5055.325}, journal = {Science}, keywords = {Gravitational wave detectors, Gravitational radiation}, pages = {325--333}, title = {LIGO: The Laser Interferometer Gravitational-Wave Observatory}, volume = {256}, year = {1992} } @inproceedings{Kuroda1997, address = {Singapore; River Edge, U.S.A.}, author = {Kuroda, K. et~al.}, booktitle = {Gravitational Waves: Sources and Detectors}, conference = {Proceedings of the International Conference, Cascina (Pisa), Italy, 19\,--\,23 March\, 1996}, editor = {Ciufolini, I. and Fidecaro, F.}, keywords = {Gravitational wave detectors, Gravitational radiation}, pages = {100}, publisher = {World Scientific}, series = {Edoardo Amaldi Foundation Series}, title = {Status of TAMA}, volume = {2}, year = {1997} } @article{Thorne80, adsurl = {http://adsabs.harvard.edu/abs/1980RvMP...52..299T}, author = {Thorne, K.S.}, doi = {10.1103/RevModPhys.52.299}, journal = {Rev. Mod. Phys.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation, Multipole expansions}, pages = {299--339}, title = {Multipole expansions of gravitational radiation}, volume = {52}, year = {1980} } @inproceedings{Thorne:1994, address = {Tokyo, Japan}, author = {Thorne, K.S.}, booktitle = {Relativistic Cosmology}, conference = {Proceedings of the 8th Nishinomiya-Yukawa Memorial Symposium, Shukugawa City Hall, Nishinomiya, Hyogo, Japan, October 28\,--\,29, 1993}, editor = {Sasaki, M.}, keywords = {Gravitational wave detectors, Gravitational radiation}, publisher = {Universal Academy Press}, series = {NYMSS}, title = {LIGO, VIRGO, and the international network of laser-interferometer gravitational-wave detectors}, volume = {8}, year = {1994} } @article{Ehlers:1997, author = {Ehlers, J.}, doi = {10.1088/0264-9381/14/1A/010}, journal = {Class. Quantum Grav.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {A119--A126}, title = {Examples of Newtonian limits of relativistic spacetimes}, volume = {14}, year = {1997} } @article{Plebanski1959, author = {Pleba{\'{n}}ski, J.F. and Ba{\.{z}}a{\'{n}}ski, S.L.}, journal = {Acta Phys. Pol.}, keywords = {Post-Newtonian approximations}, pages = {307}, title = {The general Fokker action principle and its application in general relativity theory}, volume = {18}, year = {1959} } @book{sobolev, address = {New York, U.S.A.}, author = {Sobolev, S.L.}, gbs_id = {hQGvUcT-h0cC}, keywords = {Mathematical physics, Partial differential equations}, note = {Reprint. Originally published in 1964 by Pergamon Press, London}, publisher = {Dover}, title = {Partial Differential Equations of Mathematical Physics}, year = {1989} } @inproceedings{Dixon, address = {Amsterdam; New York}, author = {Dixon, W.G.}, booktitle = {Isolated Gravitating Systems in General Relativity (Sistemi gravitazionali isolati in relativit\`a generale)}, conference = {Proceedings of the International School of Physics `Enrico Fermi', Course 67, Varenna on Lake Como, Villa Monastero, Italy, 28 June\,--\,10 July, 1976}, editor = {Ehlers, J.}, keywords = {General relativity, Equations of motion, Multipole expansions}, pages = {156--219}, publisher = {North-Holland}, title = {Extended bodies in general relativity: Their description and motion}, year = {1979} } @article{death75a, author = {D'Eath, P.D.}, doi = {10.1103/PhysRevD.11.1387}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation, Matched asymptotic expansion}, pages = {1387--1403}, title = {Dynamics of a small black hole in a background universe}, volume = {11}, year = {1975} } @article{death75b, author = {D'Eath, P.D.}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation, Matched asymptotic expansion}, pages = {2183--2199}, title = {Interaction of two black holes in the slow-motion limit}, volume = {12}, year = {1975} } @article{Murchadha:1974, author = {{\'{O}} Murchadha, N. and York Jr, J.W.}, doi = {10.1103/PhysRevD.10.2345}, journal = {Phys. Rev. D}, keywords = {General relativity}, pages = {2345--2357}, title = {Gravitational energy}, volume = {10}, year = {1974} } @book{Schwartz, address = {Paris, France}, author = {Schwartz, L.}, keywords = {Mathematical physics, Theory of distributions}, publisher = {Hermann}, title = {Th\'eorie des distributions}, year = {1966} } @book{Hadamard, address = {Paris, France}, author = {Hadamard, J.}, keywords = {Mathematical physics, Partial differential equations}, publisher = {Hermann}, title = {Le prob\`em de Cauchy et les \'equation aux d\'eriv\'ees partielles lin\'earies hyperboliques}, year = {1932} } @article{QW, archiveprefix = {arXiv}, author = {Quinn, T.C. and Wald, R.M.}, cited = {7 March 2006}, doi = {10.1103/PhysRevD.56.3381}, eprint = {gr-qc/9610053}, journal = {Phys. Rev. D}, keywords = {General relativity, Radiation reaction, Self-force}, onlineversion = {http://arXiv.org/abs/gr-qc/9610053}, pages = {3381--3394}, title = {An axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime}, volume = {56}, year = {1997} } @article{Mino, archiveprefix = {arXiv}, author = {Mino, Y. and Sasaki, M. and Tanaka, T.}, cited = {7 March 2006}, doi = {10.1103/PhysRevD.55.3457}, eprint = {gr-qc/9606018}, journal = {Phys. Rev. D}, keywords = {General relativity, Radiation reaction, Perturbation theory, Matched asymptotic expansion, Self-force}, onlineversion = {http://arXiv.org/abs/gr-qc/9606018}, pages = {3457--3476}, title = {Gravitational radiation reaction to a particle motion}, volume = {55}, year = {1997} } @book{LL, address = {Oxford; New York}, author = {Landau, L.D. and Lifshitz, E.M.}, edition = {4th}, gbs_id = {QIxD3Z82AagC}, keywords = {General relativity}, publisher = {Pergamon Press}, series = {Course of Theoretical Physics}, title = {The Classical Theory of Fields}, volume = {2}, year = {1975} } @book{Wald:1984, address = {Chicago}, adsurl = {http://adsabs.harvard.edu/abs/1984ucp..book.....W}, author = {Wald, R.M.}, gbs_id = {IdAwZ1ei1scC}, keywords = {General relativity}, publisher = {University of Chicago Press}, title = {General Relativity}, year = {1984} } @article{markovic, author = {Markovi{\'{c}}, D.}, journal = {Phys. Rev. D}, keywords = {Cosmology, Gravitational radiation}, pages = {4738--4756}, title = {Possibility of determining cosmological parameters from measurements of gravitational waves emitted by coalescing, compact binaries}, volume = {48}, year = {1993} } @article{Finn:1996, author = {Finn, L.S.}, journal = {Phys. Rev. D}, keywords = {Cosmology, Gravitational radiation}, pages = {2878--2894}, title = {Binary inspiral, gravitational radiation, and cosmology}, volume = {53}, year = {1996} } @article{Wang1996, author = {Wang, Y. and Stebbins, A. and Turner, E.L.}, doi = {10.1103/PhysRevLett.77.2875}, journal = {Phys. Rev. Lett.}, keywords = {Gravitational radiation, Gravitational lenses}, pages = {2875--2878}, title = {Gravitational Lensing of Gravitational Waves from Merging Neutron Star Binaries}, volume = {77}, year = {1996} } @article{BC92, adsurl = {http://adsabs.harvard.edu/abs/1992ApJ...400..175B}, author = {Bildsten, L. and Cutler, C.}, doi = {10.1086/171983}, journal = {Astrophys. J.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {175--180}, title = {Tidal interactions of inspiraling compact binaries}, volume = {400}, year = {1992} } @article{Tagoshi:1993dm, author = {Tagoshi, H. and Nakamura, T.}, doi = {10.1103/PhysRevD.49.4016}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {4016--4022}, title = {Gravitational waves from a point particle in circular orbit around a black hole: Logarithmic terms in the post-Newtonian expansion}, volume = {49}, year = {1994} } @article{Poisson, author = {Poisson, E.}, cited = {7 March 2006}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation, Multipole moments}, onlineversion = {http://arXiv.org/abs/gr-qc/9709032}, pages = {5287--5290}, title = {Gravitational waves from inspiraling compact binaries: The quadrupole-moment term}, volume = {57}, year = {1998} } @article{Kochanek, adsurl = {http://adsabs.harvard.edu/abs/1992ApJ...398..234K}, author = {Kochanek, C.S.}, doi = {10.1086/171851}, journal = {Astrophys. J.}, keywords = {Relativistic astrophysics, Neutron stars}, pages = {234--247}, title = {Coalescing binary neutron stars}, volume = {398}, year = {1992} } @article{TOO98, author = {Owen, B.J. and Tagoshi, H. and Ohashi, A.}, cited = {7 March 2006}, journal = {Phys. Rev. D}, keywords = {Gravitational radiation, Equations of motion, Post-Newtonian approximations}, onlineversion = {http://arXiv.org/abs/gr-qc/9710134}, pages = {6168--6175}, title = {Nonprecessional spin-orbit effects on gravitational waves from inspiraling compact binaries to second post-Newtonian order}, volume = {57}, year = {1998} } @article{TOO01, author = {Tagoshi, H. and Ohashi, A. and Owen, B.J.}, cited = {7 March 2006}, eid = {044006}, journal = {Phys. Rev. D}, keywords = {Gravitational radiation, Equations of motion, Post-Newtonian approximations}, onlineversion = {http://arXiv.org/abs/gr-qc/0010014}, pages = {1--14}, title = {Gravitational field and equations of motion of spinning compact binaries to 2.5-post-Newtonian order}, volume = {63}, year = {2001} } @article{Konigsdorffer:2005sc, author = {K{\"{o}}nigsd{\"{o}}rffer, C. and Gopakumar, A.}, cited = {7 March 2006}, eid = {024039}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0501011}, pages = {1--18}, title = {Post-Newtonian accurate parametric solution to the dynamics of spinning compact binaries in eccentric orbits: The leading order spin-orbit interaction}, volume = {71}, year = {2005} } @book{MTW, address = {San Francisco}, adsurl = {http://adsabs.harvard.edu/abs/1973grav.book.....M}, author = {Misner, C.W. and Thorne, K.S. and Wheeler, J.A.}, keywords = {General relativity}, publisher = {W.H. Freeman}, title = {Gravitation}, year = {1973} } @book{Soffel, address = {Berlin, Germany; New York, U.S.A.}, author = {Soffel, M.H.}, keywords = {General relativity}, publisher = {Springer}, title = {Relativity in Astrometry, Celestial Mechanics and Geodesy}, year = {1989} } @book{Brumberg, address = {Bristol; Philadelphia}, author = {Brumberg, V.A.}, gbs_id = {yA1oLkHkNGMC}, keywords = {General relativity}, publisher = {Adam Hilger}, title = {Essential Relativistic Celestial Mechanics}, year = {1991} } @article{BK, author = {Brumberg, V.A. and Kopeikin, S.M.}, doi = {10.1007/BF02888894}, journal = {Nuovo Cimento B}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {63--98}, title = {Relativistic Reference Systems and Motion of Test Bodies in the Vicinity of the Earth}, volume = {103}, year = {1989} } @article{Kidder, adsurl = {http://adsabs.harvard.edu/abs/1995PhRvD..52..821K}, author = {Kidder, L.E.}, doi = {10.1103/PhysRevD.52.821}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {821--847}, title = {Coalescing binary systems of compact objects to (post)$^{5/2}$-Newtonian order. V. Spin effects}, volume = {52}, year = {1995} } @article{CutlerEtAl, author = {Cutler, C. and Apostolatos, T.A. and Bildsten, L. and Finn, L.S. and Flanagan, {\'{E}}.{\'{E}}. and Kennefick, D. and Markovi{\'{c}}, D.M. and Ori, A. and Poisson, E. and Sussman, G.J.}, doi = {10.1103/PhysRevLett.70.2984}, eprint = {astro-ph/9208005}, journal = {Phys. Rev. Lett.}, keywords = {Gravitational radiation}, pages = {2984--2987}, title = {The Last Three Minutes: Issues in Gravitational-Wave Measurements of Coalescing Compact Binaries}, volume = {70}, year = {1993} } @article{Bradaschia:1990, author = {Bradaschia, C. and Del Fabbro, R. and Di Virgilio, A. and Giazotto, A. and Kautzky, H. and Montelatici, V. and Passuello, D. and Brillet, A. and Cregut, O. and Hello, P. and Man, C.N. and Manh, P.T. and Marraud, A. and Shoemaker, D.H. and Vinet, J.-Y. and Barone, F. and di Fiore, L. and Milano, L. and Russo, G. and Aguirregabiria, J.M. and Bel, H. and Duruisseau, J.P. and Le Denmat, G. and Tourrenc, P. and Capozzi, M. and Longo, M. and Lops, M. and Pinto, I. and Rotoli, G. and Damour, T. and Bonazzola, S. and Marck, J.-A. and Gourghoulon, Y. and Holloway, L.E. and Fuligni, F. and Iafolla, V. and Natale, G.}, doi = {10.1016/0168-9002(90)91525-G}, journal = {Nucl. Instrum. Methods A}, keywords = {Gravitational wave detectors}, pages = {518--525}, title = {The VIRGO Project: A wide band antenna for gravitational wave detection}, volume = {289}, year = {1990} } @online{LIGOweb, cited = {7 March 2006}, format = {project homepage}, keywords = {Gravitational wave detectors}, publisher = {California Institute of Technology}, title = {LIGO - Laser Interferometer Gravitational Wave Observatory}, url = {http://www.ligo.caltech.edu} } @online{GEOweb, cited = {7 March 2006}, format = {project homepage}, keywords = {Gravitational wave detectors}, publisher = {MPI for Gravitational Physics (Albert Einstein Institute)}, title = {GEO600: The German-British Gravitational Wave Detector}, url = {http://www.geo600.org/} } @online{TAMAweb, cited = {7 March 2006}, format = {project homepage}, keywords = {Gravitational wave detectors}, publisher = {National Astronomical Observatory of Japan}, title = {TAMA: The 300m Laser Interferometer Gravitational Wave Antenna}, url = {http://tamago.mtk.nao.ac.jp/} } @online{VIRGOweb, cited = {7 March 2006}, format = {project homepage}, keywords = {Gravitational wave detectors}, publisher = {European Gravitational Observatory}, title = {Virgo}, url = {https://wwwcascina.virgo.infn.it/} } @article{burke, adsurl = {http://adsabs.harvard.edu/abs/1971JMaPh..12..401B}, author = {Burke, W.L.}, doi = {10.1063/1.1665603}, journal = {J. Math. Phys.}, keywords = {Post-Newtonian approximations, Gravitational radiation}, pages = {401--418}, title = {Gravitational Radiation Damping of Slowly Moving Systems Calculated Using Matched Asymptotic Expansions}, volume = {12}, year = {1971} } @article{AsadaFutamase97, author = {Asada, H. and Futamase, T.}, cited = {7 March 2006}, doi = {10.1143/PTPS.128.123}, journal = {Prog. Theor. Phys. Suppl.}, keywords = {Post-Newtonian approximations, Hydrodynamics, Equations of motion, Gravitational radiation, Numerical simulations}, onlineversion = {http://arXiv.org/abs/gr-qc/9806108}, pages = {123--181}, title = {Post-Newtonian Approximation}, volume = {128}, year = {1997} } @article{Asada:1997zu, author = {Asada, H. and Futamase, T.}, cited = {7 March 2006}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/9711009}, pages = {6062--6066}, title = {Propagation of gravitational waves from slow motion sources in a Coulomb type potential}, volume = {56}, year = {1997} } @article{Futamase83, author = {Futamase, T.}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {2373--2381}, title = {Gravitational radiation reaction in the Newtonian limit}, volume = {28}, year = {1983} } @article{Futamase85, author = {Futamase, T.}, doi = {10.1103/PhysRevD.32.2566}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation, Compact binaries}, pages = {2566--2574}, title = {Point-particle limit and the far-zone quadrupole formula in general relativity}, volume = {32}, year = {1985} } @article{Futamase87, author = {Futamase, T.}, doi = {10.1103/PhysRevD.36.321}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation, Compact binaries}, pages = {321--329}, title = {Strong-field point-particle limit and the equations of motion in the binary pulsar}, volume = {36}, year = {1987} } @article{FS83, author = {Futamase, T. and Schutz, B.F.}, doi = {10.1103/PhysRevD.28.2363}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {2363--2372}, title = {Newtonian and post-Newtonian approximation are asymptotic to general relativity}, volume = {28}, year = {1983} } @article{IFAY2K, author = {Itoh, Y. and Futamase, T. and Asada, H.}, cited = {7 March 2006}, doi = {10.1103/PhysRevD.62.064002}, eid = {064002}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation, Compact binaries}, onlineversion = {http://arXiv.org/abs/gr-qc/9910052}, pages = {1--12}, title = {Equation of motion for relativistic compact binaries with the strong field point particle limit: Formulation, the first post-Newtonian and multipole terms}, volume = {62}, year = {2000} } @article{IFA2001, author = {Itoh, Y. and Futamase, T. and Asada, H.}, cited = {7 March 2006}, doi = {10.1103/PhysRevD.63.064038}, eid = {064038}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Compact binaries}, onlineversion = {http://arXiv.org/abs/gr-qc/0101114}, pages = {1--21}, title = {Equation of motion for relativistic compact binaries with the strong field point particle limit: The second and half post-Newtonian order}, volume = {63}, year = {2001} } @article{IF2003, author = {Itoh, Y. and Futamase, T.}, cited = {7 March 2006}, doi = {10.1103/PhysRevD.68.121501}, eid = {121501(R)}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Compact binaries}, onlineversion = {http://arXiv.org/abs/gr-qc/0310028}, pages = {1--5}, title = {New derivation of a third post-Newtonian equation of motion for relativistic compact binaries without ambiguity}, volume = {68}, year = {2003} } @article{FFI2006, archiveprefix = {arXiv}, author = {Fukumoto, T. and Futamase, T. and Itoh, Y.}, cited = {5 July 2006}, doi = {10.1143/PTP.116.423}, eprint = {gr-qc/0606114}, journal = {Prog. Theor. Phys.}, keywords = {Post-Minkowskian approximations, Equations of motion, Gravitational radiation, Compact binaries}, onlineversion = {http://arXiv.org/abs/gr-qc/0606114}, pages = {423--428}, title = {On the equation of motion for a fast moving small object using the strong field point particle limit}, volume = {116}, year = {2006} } @article{Itoh2003, author = {Itoh, Y.}, cited = {7 March 2006}, doi = {10.1103/PhysRevD.69.064018}, eid = {064018}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Compact binaries}, onlineversion = {http://arXiv.org/abs/gr-qc/0310029}, pages = {1--43}, title = {Equation of motion for relativistic compact binaries with the strong field point particle limit: Third post-Newtonian order}, volume = {69}, year = {2004} } @article{Itoh2004, author = {Itoh, Y.}, cited = {7 March 2006}, doi = {10.1088/0264-9381/21/5/021}, journal = {Class. Quantum Grav.}, keywords = {Post-Newtonian approximations, Equations of motion, Compact binaries}, onlineversion = {http://arXiv.org/abs/gr-qc/0401059}, pages = {S529--S534}, title = {On the equation of motion of compact binaries in Post-Newtonian approximation}, volume = {21}, year = {2004} } @article{Schutz80, author = {Schutz, B.F.}, doi = {10.1103/PhysRevD.22.249}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {249--259}, title = {Statistical formulation of gravitational radiation reaction}, volume = {22}, year = {1980} } @inproceedings{Schutz85, address = {Singapore; Philadelphia, U.S.A.}, author = {Schutz, B.F.}, booktitle = {Relativity, Supersymmetry and Cosmology}, conference = {Proceedings of the 5th Simposio Latino Americano de Relatividad y Gravitaci\'on -- SILARG V}, editor = {Bressan, O. and Castagnino, M. and Hamity, V.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {3--80}, publisher = {World Scientific}, title = {Motion and radiation in general relativity}, year = {1985} } @article{Schutz:1986, author = {Schutz, B.F.}, doi = {10.1038/323310a0}, journal = {Nature}, keywords = {Cosmology, Gravitational radiation}, pages = {310--311}, title = {Determining the Hubble Constant from Gravitational Wave Observations}, volume = {323}, year = {1986} } @inproceedings{Schutz:1984, address = {Singapore}, author = {Schutz, B.F.}, booktitle = {Relativistic Astrophysics and Cosmology}, conference = {Proceedings of the XIVth GIFT International Seminar on Theoretical Physics, Sant Feliu de Guixols, Spain, 27 June\,--\,1 July, 1983}, editor = {Fustero, X. and Verdaguer, E.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {35}, publisher = {World Scientific}, title = {The Use of Perturbation and Approximation Methods in General Relativity}, year = {1984} } @article{DJS01a, author = {Damour, T. and Jaranowski, P. and Sch{\"{a}}fer, G.}, cited = {7 March 2006}, doi = {10.1016/S0370-2693(01)00642-6}, journal = {Phys. Lett. B}, keywords = {Post-Newtonian approximations, ADM formalism, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0105038}, pages = {147--155}, title = {Dimensional regularization of the gravitational interaction of point masses}, volume = {513}, year = {2001} } @article{DJS01b, author = {Damour, T. and Jaranowski, P. and Sch{\"{a}}fer, G.}, cited = {7 March 2006}, eid = {044021}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, ADM formalism, Gravitational radiation}, note = {Erratum: {\it Phys. Rev. D} 63, (2001) 044021}, onlineversion = {http://arXiv.org/abs/gr-qc/0010040}, pages = {1--11}, title = {Equivalence between the ADM-Hamiltonian and the harmonic-coordinates approaches to the third post-Newtonian dynamics of compact binaries}, volume = {63}, year = {2001} } @article{DJS00, author = {Damour, T. and Jaranowski, P. and Sch{\"{a}}fer, G.}, cited = {7 March 2006}, eid = {021501}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, ADM formalism, Gravitational radiation}, note = {Erratum: {\it Phys. Rev. D} 63 (2001) 029903}, onlineversion = {http://arXiv.org/abs/gr-qc/0003051}, pages = {1--5}, title = {Poincar\'e invariance in the ADM Hamiltonian approach to the general relativistic two-body problem}, volume = {62}, year = {2000} } @article{JS98a, author = {Jaranowski, P. and Sch{\"{a}}fer, G.}, cited = {7 March 2006}, doi = {10.1103/PhysRevD.57.7274}, journal = {Phys. Rev. D}, keywords = {ADM formalism, Post-Newtonian approximations}, note = {Erratum: {\it Phys. Rev. D} 63 (2001) 029902}, onlineversion = {http://arXiv.org/abs/gr-qc/9712075}, pages = {7274--7291}, title = {Third post-Newtonian higher order ADM Hamilton dynamics for two-body point-mass systems}, volume = {57}, year = {1998} } @article{JS99, author = {Jaranowski, P. and Sch{\"{a}}fer, G.}, cited = {7 March 2006}, doi = {10.1103/PhysRevD.60.124003}, eid = {124003}, journal = {Phys. Rev. D}, keywords = {ADM formalism, Post-Newtonian approximations}, onlineversion = {http://arXiv.org/abs/gr-qc/9906092}, pages = {1--7}, title = {Binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part}, volume = {60}, year = {1999} } @article{JS98b, author = {Jaranowski, P. and Sch{\"{a}}fer, G.}, cited = {7 June 2006}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, ADM formalism, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/9802030}, pages = {5948--5949}, title = {Non-uniqueness of the third post-Newtonian binary point-mass dynamics}, volume = {57}, year = {1998} } @article{Jaranowski:1996nv, author = {Jaranowski, P. and Sch{\"{a}}fer, G.}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, ADM formalism, Gravitational radiation}, pages = {4712--4722}, title = {Radiative 3.5 post-Newtonian ADM Hamiltonian for many-body point-mass systems}, volume = {55}, year = {1997} } @article{JS2000, author = {Jaranowski, P. and Sch{\"{a}}fer, G.}, cited = {12 December 2006}, doi = {10.1002/(SICI)1521-3889(200005)9:3/5<378::AID-ANDP378>3.0.CO;2-M}, journal = {Ann. Phys. (Berlin)}, keywords = {Equations of motion, Post-Newtonian approximations, ADM formalism}, onlineversion = {http://arXiv.org/abs/gr-qc/0003054}, pages = {378--383}, title = {The binary black-hole dynamics at the third post-Newtonian order in the orbital motion}, volume = {9}, year = {2000} } @article{DS1985, author = {Damour, T. and Sch{\"{a}}fer, G.}, journal = {Gen. Relativ. Gravit.}, keywords = {Post-Newtonian approximations, ADM formalism}, pages = {879--905}, title = {Lagrangians for $n$ Point Masses at the Second Post-Newtonian Approximation of General Relativity}, volume = {17}, year = {1985} } @article{Schafer86, author = {Sch{\"{a}}fer, G.}, doi = {10.1007/BF00765886}, journal = {Gen. Relativ. Gravit.}, keywords = {ADM formalism, Post-Minkowskian approximations}, pages = {255--270}, title = {The ADM Hamiltonian at the Postlinear Approximation}, volume = {18}, year = {1986} } @article{Will:2005va, archiveprefix = {arXiv}, author = {Will, C.M.}, cited = {5 July 2006}, eid = {lrr-2006-3}, eprint = {gr-qc/0510072}, journal = {Living Rev. Relativity}, keywords = {Experimental tests of relativistic gravity}, title = {The Confrontation between General Relativity and Experiment}, url = {http://www.livingreviews.org/lrr-2006-3}, volume = {9}, year = {2006} } @article{Will:2005sn, author = {Will, C.M.}, cited = {7 March 2006}, eid = {084027}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0502039}, pages = {1--15}, title = {Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. III. Radiation reaction for binary systems with spinning bodies}, volume = {71}, year = {2005} } @article{PW02, author = {Pati, M.E. and Will, C.M.}, cited = {7 March 2006}, doi = {10.1103/PhysRevD.65.104008}, eid = {104008}, eprint = {gr-qc/0201001}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0201001}, pages = {1--21}, title = {Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. II. Two-body equations of motion to second post-Newtonian order, and radiation reaction to 3.5 post-Newtonian order}, volume = {65}, year = {2002} } @article{PWY2K, author = {Pati, M.E. and Will, C.M.}, cited = {7 March 2006}, doi = {10.1103/PhysRevD.62.124015}, eid = {124015}, eprint = {gr-qc/0007087}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/0007087}, pages = {1--28}, title = {Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations: Foundations}, volume = {62}, year = {2000} } @article{Will99, author = {Will, C.M.}, cited = {16 March 2006}, doi = {10.1143/PTPS.136.158}, journal = {Prog. Theor. Phys. Suppl.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/9910057}, pages = {158--167}, title = {Generation of post-Newtonian gravitational radiation via direct integration of the relaxed Einstein equations}, volume = {136}, year = {1999} } @article{IW95, author = {Iyer, B.R. and Will, C.M.}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {6882--6893}, title = {Post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies}, volume = {52}, year = {1995} } @article{WW96, author = {Will, C.M. and Wiseman, A.G.}, cited = {7 March 2006}, doi = {10.1103/PhysRevD.54.4813}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/9608012}, pages = {4813--4848}, title = {Gravitational radiation from compact binary systems: Gravitational waveforms and energy loss to second post-Newtonian order}, volume = {54}, year = {1996} } @inproceedings{will94, address = {Tokyo}, author = {Will, C.M.}, booktitle = {Relativistic Cosmology}, cited = {7 March 2006}, conference = {Proceedings of the 8th Nishinomiya-Yukawa Memorial Symposium, Shukugawa City Hall, Nishinomiya, Hyogo, Japan, 28\,--\,29 October, 1993}, editor = {Sasaki, M.}, eprint = {gr-qc/9403033}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/9403033}, pages = {83--98}, publisher = {Universal Academy Press}, series = {NYMSS}, title = {Gravitational Waves from Inspiralling Compact Binaries: A Post-Newtonian Approach}, volume = {8}, year = {1993} } @incollection{will87, address = {Cambridge, U.K.; New York, U.S.A.}, author = {Will, C.M.}, booktitle = {Three Hundred Years of Gravitation}, editor = {Hawking, S.W. and Israel, W.}, keywords = {Experimental tests of relativistic gravity}, pages = {80--127}, publisher = {Cambridge University Press}, title = {Experimental gravitation from Newton's Principia to Einstein's general relativity}, year = {1987} } @book{Will1993, address = {Cambridge; New York}, author = {Will, C.M.}, edition = {2nd}, gbs_id = {BhnUITA7sDIC}, keywords = {Experimental tests of relativistic gravity}, publisher = {Cambridge University Press}, title = {Theory and Experiment in Gravitational Physics}, year = {1993} } @article{KWW93, author = {Kidder, L.E. and Will, C.M. and Wiseman, A.G.}, cited = {7 March 2006}, doi = {10.1103/PhysRevD.47.R4183}, journal = {Phys. Rev. D}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, onlineversion = {http://arXiv.org/abs/gr-qc/9211025}, pages = {R4183--R4187}, title = {Spin effects in the inspiral of coalescing compact binaries}, volume = {47}, year = {1993} } @article{Walker:1980tm, author = {Walker, M. and Will, C.M.}, doi = {10.1103/PhysRevLett.45.1741}, journal = {Phys. Rev. Lett.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {1741--1744}, title = {Gravitational radiation quadrupole formula is valid for gravitationally interacting systems}, volume = {45}, year = {1980} } @article{Walker:1980a, author = {Walker, M. and Will, C.M.}, doi = {10.1086/183417}, journal = {Astrophys. J. Lett.}, keywords = {Post-Newtonian approximations, Equations of motion, Gravitational radiation}, pages = {L129--L133}, title = {The approximation of radiative effects in relativistic gravity -- Gravitational radiation reaction and energy loss in nearly Newtonian systems}, volume = {242}, year = {1980} } @online{maplesoft, cited = {7 March 2006}, format = {institutional homepage}, keywords = {Algebra, Software}, publisher = {Maplesoft}, title = {Maple: Math and Engineering Software by Maplesoft}, url = {http://www.maplesoft.com} } @online{mathematica, author = {Wolfram, S.}, cited = {7 March 2006}, format = {institutional homepage}, keywords = {Algebra, Software}, publisher = {Wolfram Research, Inc.}, title = {Mathematica: The Way the World Calculates}, url = {http://www.wolfram.com/products/mathematica/} } @online{mathtensor, cited = {7 March 2006}, format = {institutional homepage}, keywords = {Algebra, Software}, publisher = {MathTensor, Inc.}, title = {MathTensor for Mathematica}, url = {http://smc.vnet.net/MathTensor.html} }