%0 %U http://relativity.livingreviews.org/refdb/record/18696 %A Angulo, M.E. %A Mena Marugán, G.A. %T Large quantum gravity effects: Cylindrical waves in four dimensions %V 9 %D 2000 %P 669?686 %J Int. J. Mod. Phys. D %K Quantum gravity %0 Unpublished Work %U http://relativity.livingreviews.org/refdb/record/18697 %A Ashtekar, A. %S International LQG Seminar, February 27, 2007 %9 conference paper %D 2007 %T Some surprising consequences of background independence in canonical quantum gravity %0 %U http://relativity.livingreviews.org/refdb/record/18698 %A Ashtekar, A. %A Horowitz, G.T. %R 10.1103/PhysRevD.26.3342 %T On the canonical approach to quantum gravity %V 26 %D 1982 %P 3342?3353 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/9740 %A Ashtekar, A. %A Samuel, J. %R 10.1088/0264-9381/8/12/005 %T Bianchi cosmologies: The role of spatial topology %V 8 %D 1991 %P 2191?2215 %J Class. Quantum Grav. %K Cosmology %K Anisotropy %K Topology %K Observables %K no keywords %0 %U http://relativity.livingreviews.org/refdb/record/18699 %A Ashtekar, A. %A Varadarajan, M. %R 10.1103/PhysRevD.50.4944 %T A striking property of the gravitational Hamiltonian %V 50 %D 1994 %P 4944?4956 %J Phys. Rev. D %0 Conference Paper %U http://relativity.livingreviews.org/refdb/record/5874 %A Ashtekar, A. %A Lewandowski, J. %S Proceedings of a workshop held at UC Riverside on May 14 ? 16, 1993 %I Clarendon Press; Oxford University Press %T Representation theory of analytic holonomy C^{*} algebras %B Knots and Quantum Gravity %C Oxford; New York %V 1 %E Baez, J.C. %D 1994 %P 21?61 %K Loop quantum gravity %K Ashtekar-Lewandowski measure %0 %U http://relativity.livingreviews.org/refdb/record/2787 %A Ashtekar, A. %A Pierri, M. %R 10.1063/1.531774 %T Probing quantum gravity through exactly soluble midi-superspaces. I %V 37 %D 1996 %P 6250?6270 %J J. Math. Phys. %K 2+1 gravity %K Midisuperspace %0 %U http://relativity.livingreviews.org/refdb/record/18700 %A Ashtekar, A. %A Bi?ák, J. %A Schmidt, B.G. %R 10.1103/PhysRevD.55.669 %T Asymptotic structure of symmetry reduced general relativity %V 55 %D 1997 %P 669?686 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/2786 %A Ashtekar, A. %R 10.1103/PhysRevLett.77.4864 %T Large quantum gravity effects: Unforseen limitations of the classical theory %V 77 %D 1996 %P 4864?4867 %J Phys. Rev. Lett. %0 %U http://relativity.livingreviews.org/refdb/record/18701 %A Ashtekar, A. %A Husain, V. %R 10.1142/S0218271898000371 %T Symmetry reduced Einstein gravity and generalized sigma and chiral models %V 7 %D 1998 %P 549?566 %J Int. J. Mod. Phys. D %0 %U http://relativity.livingreviews.org/refdb/record/18702 %A Ashtekar, A. %A Bi?ák, J. %A Schmidt, B.G. %R 10.1103/PhysRevD.55.687 %T Behavior of Einstein-Rosen waves at null infinity %V 55 %D 1997 %P 687?694 %J Phys. Rev. D %K Einstein-Rosen waves %0 %U http://relativity.livingreviews.org/refdb/record/1915 %A Ashtekar, A. %A Baez, J.C. %A Corichi, A. %A Krasnov, K. %P 904?907 %D 1998 %V 80 %T Quantum geometry and black hole entropy %R 10.1103/PhysRevLett.80.904 %J Phys. Rev. Lett. %K Black hole entropy %K Isolated horizons %K Connection variables %K Chern-Simons theories %K Black holes %K Entropy %K Canonical quantum gravity %K Black hole thermodynamics %K Quantum geometry %0 %U http://relativity.livingreviews.org/refdb/record/4164 %A Ashtekar, A. %A Lewandowski, J. %P R53?R152 %D 2004 %V 21 %T Background independent quantum gravity: A status report %R 10.1088/0264-9381/21/15/R01 %J Class. Quantum Grav. %K Non-perturbative quantum gravity %K Ashtekar variables %K Background independence %K Big bang %0 %U http://relativity.livingreviews.org/refdb/record/12474 %A Ashtekar, A. %A Krishnan, B. %D 2004 %M lrr-2004-10 %V 7 %U http://www.livingreviews.org/lrr-2004-10 %T Isolated and Dynamical Horizons and Their Applications %J Living Rev. Relativity %K Constraint equations %K Dynamical horizons %K Event horizons %K Hamiltonian constraint %K Horizons %K Killing field %K Killing horizons %K Null surfaces %K Quasi-local black holes %K Three-manifolds %K Trapped surfaces %K Trapping horizons %0 %U http://relativity.livingreviews.org/refdb/record/9734 %A Ashtekar, A. %A Bojowald, M. %R 10.1088/0264-9381/23/2/008 %T Quantum geometry and the Schwarzschild singularity %V 23 %D 2006 %P 391?411 %J Class. Quantum Grav. %K Singularities %0 %U http://relativity.livingreviews.org/refdb/record/14256 %A Banerjee, K. %A Date, G. %M 105014 %R 10.1088/0264-9381/25/10/105014 %T Loop quantization of polarized Gowdy model on T^{3}: Classical theory %V 25 %D 2008 %J Class. Quantum Grav. %K Loop quantization %K Gowdy models %0 %U http://relativity.livingreviews.org/refdb/record/18703 %A Banerjee, K. %A Date, G. %M 145004 %R 10.1088/0264-9381/25/14/145004 %T Loop quantization of polarized Gowdy model on T^{3}: Kinematical states and constraint operators %V 25 %D 2008 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18704 %A Barbero G, J.F. %A Mena Marugán, G.A. %A Villaseńor, E.J.S. %M 124006 %R 10.1103/PhysRevD.67.124006 %T Microcausality and quantum cylindrical gravitational waves %V 67 %D 2003 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18705 %A Barbero G, J.F. %A Mena Marugán, G.A. %A Villaseńor, E.J.S. %T Quantum cylindrical waves and sigma models %V 13 %D 2004 %P 1119?1128 %J Int. J. Mod. Phys. D %0 %U http://relativity.livingreviews.org/refdb/record/18706 %A Barbero G, J.F. %A Mena Marugán, G.A. %A Villaseńor, E.J.S. %R 10.1063/1.1769612 %T Asymptotic analysis of field commutators for Einstein-Rosen gravitational waves %V 45 %D 2004 %P 3498?3532 %J J. Math. Phys. %K Gravitational waves %0 %U http://relativity.livingreviews.org/refdb/record/11690 %A Barbero G, J.F. %A Mena Marugán, G.A. %A Villaseńor, E.J.S. %M 044028 %R 10.1103/PhysRevD.70.044028 %T Particles and vacuum for perturbative and non-perturbative Einstein-Rosen gravity %V 70 %D 2004 %J Phys. Rev. D %K Cylindrical symmetry %0 %U http://relativity.livingreviews.org/refdb/record/18707 %A Barbero G, J.F. %A Mena Marugán, G.A. %A Villaseńor, E.J.S. %M 062306 %R 10.1063/1.1864251 %T Asymptotics of regulated field commutators for Einstein-Rosen waves %V 46 %D 2005 %J J. Math. Phys. %0 %U http://relativity.livingreviews.org/refdb/record/18708 %A Barbero G, J.F. %A Garay, I. %A Villaseńor, E.J.S. %M 051301 %R 10.1103/PhysRevLett.95.051301 %T Exact quantization of Einstein-Rosen waves coupled to massless scalar matter %V 95 %D 2005 %J Phys. Rev. Lett. %0 %U http://relativity.livingreviews.org/refdb/record/18709 %A Barbero G, J.F. %A Garay, I. %A Villaseńor, E.J.S. %M 044004 %T Probing quantized Einstein-Rosen waves with massless scalar matter %V 74 %D 2006 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18710 %A Barbero G, J.F. %A Gómez Vergel, D. %A Villaseńor, E.J.S. %M 024003 %T Evolution operators for linearly polarized two-Killing cosmological models %V 74 %D 2006 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18711 %A Barbero G, J.F. %A Gómez Vergel, D. %A Villaseńor, E.J.S. %R 10.1088/0264-9381/24/23/016 %T Hamiltonian dynamics of linearly polarized Gowdy models coupled to massless scalar fields %V 24 %D 2007 %P 5945?5972 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18712 %A Barbero G, J.F. %A Gómez Vergel, D. %A Villaseńor, E.J.S. %M 085002 %T Quantum unitary evolution of linearly polarized S^{1}× S^{2} and S^{3} Gowdy models coupled to massless scalar fields %V 25 %D 2008 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18713 %A Barbero G, J.F. %A Garay, I. %A Villaseńor, E.J.S. %M 205013 %R 10.1088/0264-9381/25/20/205013 %T Quantum Einstein-Rosen waves: Coherent states and n-point functions %V 25 %D 2008 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/2789 %A Beetle, C. %T Midi-superspace quantization of non-compact toroidally symmetric gravity %V 2 %D 1998 %P 471?495 %J Adv. Theor. Math. Phys. %0 %U http://relativity.livingreviews.org/refdb/record/18714 %A Bekenstein, J.D. %R 10.1007/BF02762768 %T The quantum mass spectrum of the Kerr black hole %V 11 %D 1974 %P 467 %J Lett. Nuovo Cimento %K Kerr black holes %0 %U http://relativity.livingreviews.org/refdb/record/18715 %A Bengtsson, I. %T A new phase for general relativity? %V 7 %D 1990 %P 27?39 %J Class. Quantum Grav. %K General relativity %0 %U http://relativity.livingreviews.org/refdb/record/18716 %A Berezin, V.A. %A Boyarsky, A. %A Neronov, A.Y. %R 10.1103/PhysRevD.57.1118 %T Quantum geometrodynamics for black holes and wormholes %V 57 %D 1998 %P 1118?1128 %J Phys. Rev. D %K Geometrodynamics %0 %U http://relativity.livingreviews.org/refdb/record/18717 %A Berger, B.K. %A Chitre, D.M. %A Moncrief, V.E. %A Nutku, Y. %R 10.1103/PhysRevD.5.2467 %T Hamiltonian formulation of spherically symmetric gravitational fields %V 5 %D 1972 %P 2467?2470 %J Phys. Rev. D %K Hamiltonian formulation %K Gravitational field %0 %U http://relativity.livingreviews.org/refdb/record/2861 %A Berger, B.K. %R 10.1103/PhysRevD.11.2770 %T Quantum cosmology: Exact solution for the Gowdy T^{3} model %V 11 %D 1975 %P 2770?2780 %J Phys. Rev. D %K Quantum cosmology %0 %U http://relativity.livingreviews.org/refdb/record/18718 %A Beck, G. %T Zur Theorie binärer Gravitationsfelder %V 33 %D 1925 %P 713 %J Z. Phys. %0 %U http://relativity.livingreviews.org/refdb/record/18719 %A Berger, B.K. %T Quantum effects in the Gowdy T^{3} cosmology %V 156 %D 1984 %P 155?193 %J Ann. Phys. (N.Y.) %0 %U http://relativity.livingreviews.org/refdb/record/1625 %A Berger, B.K. %R 10.1016/0003-4916(74)90207-3 %T Quantum graviton creation in a model universe %V 83 %D 1974 %P 458?490 %J Ann. Phys. (N.Y.) %K Quantum fields in curved space %K Particle creation %K Mathematical cosmology %K Inhomogeneous cosmology %0 %U http://relativity.livingreviews.org/refdb/record/873 %A Berger, B.K. %A Chru?ciel, P.T. %A Moncrief, V. %R 10.1006/aphy.1995.1012 %T On ?Asymptotically Flat? Space-Times with G_{2}-Invariant Cauchy Surfaces %V 237 %D 1995 %P 322?354 %J Ann. Phys. (N.Y.) %K Global existence %K Mathematical relativity %K Cosmic censorship %0 %U http://relativity.livingreviews.org/refdb/record/14219 %A Böhmer, C.G. %A Vandersloot, K. %M 104030 %R 10.1103/PhysRevD.76.104030 %T Loop quantum dynamics of the Schwarzschild interior %V 76 %D 2007 %J Phys. Rev. D %K Loop quantum cosmology %K Schwarzschild solution %0 %U http://relativity.livingreviews.org/refdb/record/9751 %A Bojowald, M. %A Kastrup, H.A. %R 10.1088/0264-9381/17/15/311 %T Quantum symmetry reduction for diffeomorphism-invariant theories of connections %V 17 %D 2000 %P 3009?3043 %J Class. Quantum Grav. %K Symmetry %K Functional analysis %0 %U http://relativity.livingreviews.org/refdb/record/9776 %A Bojowald, M. %R 10.1088/0264-9381/21/15/008 %T Spherically symmetric quantum geometry: states and basic operators %V 21 %D 2004 %P 3733?3753 %J Class. Quantum Grav. %K Spherical symmetry %K Representation %0 %U http://relativity.livingreviews.org/refdb/record/9777 %A Bojowald, M. %A Swiderski, R. %R 10.1088/0264-9381/21/21/009 %T The volume operator in spherically symmetric quantum geometry %V 21 %D 2004 %P 4881?4900 %J Class. Quantum Grav. %K Volume spectrum %0 %U http://relativity.livingreviews.org/refdb/record/9778 %A Bojowald, M. %A Swiderski, R. %R 10.1088/0264-9381/23/6/015 %T Spherically symmetric quantum geometry: Hamiltonian constraint %V 23 %D 2006 %P 2129?2154 %J Class. Quantum Grav. %K Constraints %0 %U http://relativity.livingreviews.org/refdb/record/9779 %A Bojowald, M. %M 061301 %R 10.1103/PhysRevLett.95.061301 %T Nonsingular Black Holes and Degrees of Freedom in Quantum Gravity %V 95 %D 2005 %J Phys. Rev. Lett. %K Initial conditions %0 %U http://relativity.livingreviews.org/refdb/record/14340 %A Bojowald, M. %D 2008 %M lrr-2008-4 %V 11 %U http://www.livingreviews.org/lrr-2008-4 %T Loop Quantum Cosmology %J Living Rev. Relativity %0 %U http://relativity.livingreviews.org/refdb/record/18720 %A Bojowald, M. %A Harada, T. %A Tibrewala, R. %M 064057 %R 10.1103/PhysRevD.78.064057 %T Lemaître-Tolman-Bondi collapse from the perspective of loop quantum gravity %V 78 %D 2008 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18721 %A Bonacina, G. %A Gamba, A. %A Martellini, M. %R 10.1103/PhysRevD.45.3577 %T Interacting Euclidean three-dimensional quantum gravity %V 45 %D 1992 %P 3577?3583 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/5981 %A Borissov, R. %R 10.1103/PhysRevD.49.923 %T Weave states for plane gravitational waves %V 49 %D 1994 %P 923?929 %J Phys. Rev. D %K Weave states %0 %U http://relativity.livingreviews.org/refdb/record/18722 %A Bose, S. %A Louko, J. %A Parker, L. %A Peleg, Y. %R 10.1103/PhysRevD.53.5708 %T Hamiltonian thermodynamics of 2D vacuum dilatonic black holes %V 53 %D 1996 %P 5708?5716 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18723 %A Braden, H.W. %A Whiting, B.F. %A York Jr, J.W. %R 10.1103/PhysRevD.36.3614 %T Density of states for the gravitational field in black hole topologies %V 36 %D 1987 %P 3614?3635 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18724 %A Brizuela, D. %A Mena Marugán, G.A. %A Pawlowski, T. %M 052001 %R 10.1088/0264-9381/27/5/052001 %T Big Bounce and inhomogeneities %V 27 %D 2010 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18725 %A Brown, J.D. %A Kucha?, K.V. %R 10.1103/PhysRevD.51.5600 %T Dust as a standard of space and time in canonical quantum gravity %V 51 %D 1995 %P 5600?5629 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/14177 %A Callan Jr, C.G. %A Giddings, S.B. %A Harvey, J.A. %A Strominger, A. %R 10.1103/PhysRevD.45.R1005 %T Evanescent black holes %V 45 %D 1992 %P R1005?R1009 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/14384 %A Campiglia, M. %A Gambini, R. %A Pullin, J. %R 10.1088/0264-9381/24/14/007 %T Loop quantization of spherically symmetric midi-superspaces %V 24 %D 2007 %P 3649?3672 %J Class. Quantum Grav. %K Uniform discretization %0 Conference Paper %U http://relativity.livingreviews.org/refdb/record/18726 %A Campiglia, M. %A Gambini, R. %A Pullin, J. %S 3rd Mexican Meeting on Mathematical and Experimental Physics, Mexico City, Mexico, 10 ? 14 September 2007 %I American Institute of Physics %R 10.1063/1.2902798 %T Loop quantization of spherically symmetric midi-superspaces: The interior problem %B Recent Developments in Gravitation and Cosmology %C Melville, NY %V 977 %E Macias, A. and Lämmerzahl, C. and Camacho, A. %D 2008 %P 52?63 %0 %U http://relativity.livingreviews.org/refdb/record/18727 %A Cavagliŕ, M. %A de Alfaro, V. %A Filippov, A.T. %R 10.1142/S0218271895000442 %T Hamiltonian formalism for black holes and quantization %V 4 %D 1995 %P 661?672 %J Int. J. Mod. Phys. D %K Quantization %0 %U http://relativity.livingreviews.org/refdb/record/18728 %A Cavagliŕ, M. %A de Alfaro, V. %A Filippov, A.T. %R 10.1142/S0218271896000163 %T Quantization of the Schwarzschild black hole %V 5 %D 1996 %P 227?250 %J Int. J. Mod. Phys. D %0 %U http://relativity.livingreviews.org/refdb/record/18729 %A Chandrasekhar, S. %R 10.1098/rspa.1986.0117 %T Cylindrical waves in general relativity %V 408 %D 1986 %P 209?232 %J Proc. R. Soc. London, Ser. A %0 %U http://relativity.livingreviews.org/refdb/record/18730 %A Charach, C. %A Malin, S. %R 10.1103/PhysRevD.19.1058 %T A cosmological model with gravitational and scalar waves %V 19 %D 1979 %P 1058 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18731 %A Charach, C. %R 10.1103/PhysRevD.19.3516 %T Electromagnetic Gowdy universe %V 19 %D 1979 %P 3516?3523 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18732 %A Charach, C. %A Malin, S. %R 10.1103/PhysRevD.21.3284 %T Cosmological model with gravitational, electromagnetic, and scalar waves %V 21 %D 1980 %P 3284?3294 %J Phys. Rev. D %K Cosmological models %0 %U http://relativity.livingreviews.org/refdb/record/18733 %A Carmeli, M. %A Charach, C. %A Malin, S. %R 10.1016/0370-1573(81)90171-X %T Survey of cosmological models with gravitational, scalar and electromagnetic waves %V 76 %D 1981 %P 79 %J Phys. Rep. %0 %U http://relativity.livingreviews.org/refdb/record/18734 %A Carmeli, M. %A Charach, C. %A Feinstein, A. %T Inhomogeneous mixmaster universes: Some exact solutions %V 150 %D 1983 %P 392 %J Ann. Phys. (N.Y.) %K Mixmaster %0 %U http://relativity.livingreviews.org/refdb/record/18735 %A Chiou, D. %M 064040 %R 10.1103/PhysRevD.78.064040 %T Phenomenological loop quantum geometry of the Schwarzschild black hole %V 78 %D 2008 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18736 %A Cho, D.H.J. %A Varadarajan, M. %R 10.1088/0264-9381/23/22/003 %T Functional evolution of quantum cylindrical waves %V 23 %D 2006 %P 6115?6140 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/918 %A Chru?ciel, P.T. %R 10.1016/0003-4916(90)90341-K %T On Space-Times with U(1)× U(1) Symmetric Compact Cauchy Surfaces %V 202 %D 1990 %P 100?150 %J Ann. Phys. (N.Y.) %K Einstein equations %K T2 symmetry %K Cosmological spacetimes %0 %U http://relativity.livingreviews.org/refdb/record/18737 %A Clarke, C.J.S. %T Spherical symmetry does not imply a direct product %V 4 %D 1987 %P L37?L40 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18738 %A Corichi, A. %A Cortez, J. %A Quevedo, H. %M 085025 %R 10.1103/PhysRevD.66.085025 %T Schrödinger representation for a scalar field on curved spacetime %V 66 %D 2002 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18739 %A Corichi, A. %A Cortez, J. %A Quevedo, H. %R 10.1142/S0218271802002281 %T On unitary time evolution in Gowdy T^{3} cosmologies %V 11 %D 2002 %P 1451?1468 %J Int. J. Mod. Phys. D %0 %U http://relativity.livingreviews.org/refdb/record/18740 %A Corichi, A. %A Cortez, J. %A Mena Marugán, G.A. %M 084020 %R 10.1103/PhysRevD.73.084020 %T Quantum Gowdy T^{3} model: A unitary description %V 73 %D 2006 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18741 %A Corichi, A. %A Cortez, J. %A Mena Marugán, G.A. %M 041502 %R 10.1103/PhysRevD.73.041502 %T Unitary evolution in Gowdy cosmology %V 73 %D 2006 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18742 %A Corichi, A. %A Cortez, J. %A Mena Marugán, G.A. %A Velhinho, J.M. %R 10.1088/0264-9381/23/22/014 %T Quantum Gowdy T^{3} model: A uniqueness result %V 23 %D 2006 %P 6301?6320 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18743 %A Corichi, A. %A Cortez, J. %A Mena Marugán, G.A. %A Velhinho, J.M. %M 124031 %R 10.1103/PhysRevD.76.124031 %T Quantum Gowdy T^{3} model: Schrödinger representation with unitary dynamics %V 76 %D 2007 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18744 %A Cortez, J. %A Mena Marugán, G.A. %A Velhinho, J.M. %M 105005 %R 10.1088/0264-9381/25/10/105005 %T Uniqueness of the Fock representation of the Gowdy S^{1}× S^{2} and S^{3} models %V 25 %D 2008 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18745 %A Cortez, J. %A Mena Marugán, G.A. %A Serodio, R. %A Velhinho, J.M. %M 084040 %R 10.1103/PhysRevD.79.084040 %T Uniqueness of the Fock quantization of a free scalar field on S^{1} with time dependent mass %V 79 %D 2009 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18746 %A Cortez, J. %A Mena Marugán, G.A. %M 064020 %R 10.1103/PhysRevD.72.064020 %T Feasibility of a unitary quantum dynamics in the Gowdy T^{3} cosmological model %V 72 %D 2005 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18747 %A Cortez, J. %A Mena Marugán, G.A. %A Velhinho, J.M. %M 084027 %R 10.1103/PhysRevD.75.084027 %T Uniqueness of the Fock quantization of the Gowdy T^{3} model %V 75 %D 2007 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18748 %A Cruz, J. %A Mikovi?, A.R. %A Navarro-Salas, J. %T Free field realization of cylindrically symmetric Einstein gravity %V 437 %D 1998 %P 273?278 %J Phys. Lett. B %0 %U http://relativity.livingreviews.org/refdb/record/2737 %A DeWitt, B.S. %T Quantum theory of gravity. I. The canonical theory %V 160 %D 1967 %P 1113?1148 %J Phys. Rev. %K Wheeler-DeWitt equation %K Canonical methods %K Hyperbolic symmetry %K Quantum theory %0 %U http://relativity.livingreviews.org/refdb/record/1109 %A DeWitt, B.S. %T Quantum theory of gravity. III. Applications of the covariant theory %V 162 %D 1967 %P 1239?1256 %J Phys. Rev. %K Path integral methods %0 %U http://relativity.livingreviews.org/refdb/record/14380 %A Di Bartolo, C. %A Gambini, R. %A Porto, R.A. %A Pullin, J. %D 2005 %M 012901 %V 46 %T Dirac-like approach for consistent discretizations of classical constrained theories %R 10.1063/1.1823030 %J J. Math. Phys. %0 %U http://relativity.livingreviews.org/refdb/record/18749 %A Di Bartolo, C. %A Gambini, R. %A Pullin, J. %D 2005 %M 032501 %V 46 %T Consistent and mimetic discretizations in general relativity %R 10.1063/1.1841483 %J J. Math. Phys. %0 %U http://relativity.livingreviews.org/refdb/record/1108 %A DeWitt, B.S. %T Quantum theory of gravity. II. The manifestly covariant theory %V 162 %D 1967 %P 1195?1239 %J Phys. Rev. %0 %U http://relativity.livingreviews.org/refdb/record/9814 %A Einstein, A. %A Rosen, N. %R 10.1016/S0016-0032(37)90583-0 %T On Gravitational Waves %V 223 %D 1937 %P 43?54 %J J. Franklin Inst. %0 %U http://relativity.livingreviews.org/refdb/record/14263 %A Engle, J. %R 10.1088/0264-9381/23/9/007 %T Quantum field theory and its symmetry reduction %V 23 %D 2006 %P 2861?2894 %J Class. Quantum Grav. %K Symmetry reduction %K Quantum field theory %0 %U http://relativity.livingreviews.org/refdb/record/18750 %A Fels, M.E. %A Torre, C.G. %R 10.1088/0264-9381/19/4/303 %T The principle of symmetric criticality in general relativity %V 19 %D 2002 %P 641?676 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18751 %A Fischer, A.E. %R 10.1063/1.527175 %T Resolving the singularities in the space of Riemannian geometries %V 27 %D 1986 %P 718?738 %J J. Math. Phys. %K Riemannian geometry %0 %U http://relativity.livingreviews.org/refdb/record/9818 %A Fleischhack, C. %P 67?140 %D 2009 %V 285 %T Representations of the Weyl Algebra in Quantum Geometry %R 10.1007/s00220-008-0593-3 %J Commun. Math. Phys. %0 %U http://relativity.livingreviews.org/refdb/record/18752 %A Franzen, A. %A Gutti, S. %A Kiefer, C. %M 015011 %R 10.1088/0264-9381/27/1/015011 %T Quantum gravitational collapse in the Lemaitre?Tolman?Bondi model with a positive cosmological constant %V 27 %D 2009 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18753 %A Friedman, J.L. %A Louko, J. %A Winters-Hilt, S.N. %R 10.1103/PhysRevD.56.7674 %T Reduced phase space formalism for spherically symmetric geometry with a massive dust shell %V 56 %D 1997 %P 7674?7691 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18754 %A Gambini, R. %A Ponce, M. %A Pullin, J. %D 2005 %M 024031 %V 72 %T Consistent discretizations: the Gowdy spacetimes %R 10.1103/PhysRevD.72.024031 %J Phys. Rev. D %K Gowdy spacetime %0 %U http://relativity.livingreviews.org/refdb/record/18755 %A Gambini, R. %A Pullin, J. %M 161301 %R 10.1103/PhysRevLett.101.161301 %T Black holes in loop quantum gravity: the complete space-time %V 101 %D 2008 %J Phys. Rev. Lett. %0 %U http://relativity.livingreviews.org/refdb/record/18756 %A Gambini, R. %A Pullin, J. %T Diffeomorphism invariance in spherically symmetric loop quantum gravity %V 2 %D 2009 %P 255?260 %J Adv. Sci. Lett. %0 %U http://relativity.livingreviews.org/refdb/record/18757 %A Gambini, R. %A Pullin, J. %A Rastgoo, S. %M 215011 %R 10.1088/0264-9381/26/21/215011 %T Quantum scalar field in quantum gravity: the vacuum in the spherically symmetric case %V 26 %D 2009 %J Class. Quantum Grav. %0 Book Section %U http://relativity.livingreviews.org/refdb/record/18758 %A Gegenberg, J. %A Kunstatter, G. %I World Scientific %T 2-D midisuperspace models for quantum black holes %B Fundamental Interactions: A Memorial Volume for Wolfgang Kummer %C Singapore %E Grumiller, D. and Rebhan, A. and Vassilevich, D. %D 2009 %P 231?248 %0 %U http://relativity.livingreviews.org/refdb/record/2188 %A Geroch, R. %R 10.1063/1.1665681 %T A Method for Generating Solutions of Einstein?s Equations %V 12 %D 1971 %P 918?924 %J J. Math. Phys. %K Exact solutions %K Stationary solutions %K Vacuum Einstein equations %K Axial symmetry %0 %U http://relativity.livingreviews.org/refdb/record/6382 %A Geroch, R. %R 10.1063/1.1665990 %T A Method for Generating New Solutions of Einstein?s Equation. II %V 13 %D 1972 %P 394?404 %J J. Math. Phys. %0 %U http://relativity.livingreviews.org/refdb/record/18759 %A Giulini, D. %R 10.1007/s10714-009-0771-4 %T The superspace of geometrodynamics %V 41 %D 2009 %P 785?815 %J Gen. Relativ. Gravit. %0 %U http://relativity.livingreviews.org/refdb/record/18760 %A Gotay, M.J. %A Nester, J.M. %A Hinds, G. %R 10.1063/1.523597 %T Presymplectic manifolds and the Dirac?Bergmann theory of constraints %V 19 %D 1978 %P 2388 %J J. Math. Phys. %0 %U http://relativity.livingreviews.org/refdb/record/1715 %A Gowdy, R.H. %R 10.1103/PhysRevLett.27.826 %T Gravitational Waves in Closed Universes %V 27 %D 1971 %P 826?829 %J Phys. Rev. Lett. %0 %U http://relativity.livingreviews.org/refdb/record/17347 %A Gowdy, R.H. %R 10.1016/0003-4916(74)90384-4 %T Vacuum Spacetimes with Two-Parameter Spacelike Isometry Groups and Compact Invariant Hypersurfaces: Topologies and Boundary Conditions %V 83 %D 1974 %P 203?241 %J Ann. Phys. (N.Y.) %0 %U http://relativity.livingreviews.org/refdb/record/18761 %A Hájí?ek, P. %R 10.1103/PhysRevD.30.1178 %T Spherically symmetric systems of fields and black holes. II. Apparent horizon in canonical formalism %V 30 %D 1984 %P 1178?1184 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18762 %A Hájí?ek, P. %R 10.1103/PhysRevD.30.1185 %T Spherically symmetric systems of fields and black holes. III. Positivity of energy and of a new type Euclidean action %V 30 %D 1984 %P 1185?1193 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18763 %A Hájí?ek, P. %R 10.1103/PhysRevD.31.785 %T Spherically symmetric systems of fields and black holes. IV. No room for black-hole evaporation in the reduced configuration space? %V 31 %D 1985 %P 785?795 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18764 %A Hájí?ek, P. %R 10.1103/PhysRevD.57.936 %T Spherically symmetric gravitating shell as a reparametrization invariant system %V 57 %D 1998 %P 936?953 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18765 %A Hájí?ek, P. %A Kiefer, C. %R 10.1016/S0550-3213(01)00141-9 %T Embedding variables in the canonical theory of gravitating shells %V 603 %D 2001 %P 531?554 %J Nucl. Phys. B %0 %U http://relativity.livingreviews.org/refdb/record/18766 %A Hájí?ek, P. %A Kouletsis, I. %R 10.1088/0264-9381/19/10/302 %T Pair of null gravitating shells: I. Space of solutions and its symmetries %V 19 %D 2002 %P 2529?2549 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18767 %A Hájí?ek, P. %A Kouletsis, I. %R 10.1088/0264-9381/19/10/303 %T Pair of null gravitating shells: II. Canonical theory and embedding variables %V 19 %D 2002 %P 2551?2566 %J Class. Quantum Grav. %0 Conference Paper %U http://relativity.livingreviews.org/refdb/record/18768 %A Hájí?ek, P. %S 271th WE-Heraeus Seminar ?Aspects of Quantum Gravity?, Bad Honnef, Germany, 24 February ? 1 March 2002 %I Springer %R 10.1007/978-3-540-45230-0_6 %T Quantum Theory of Gravitational Collapse (Lecture Notes on Quantum Conchology) %B Quantum Gravity: From Theory to Experimental Search %C Berlin; New York %V 631 %E Giulini, D. and Kiefer, C. and Lämmerzahl, C. %D 2003 %P 255?299 %K Gravitational collapse %0 %U http://relativity.livingreviews.org/refdb/record/18769 %A Helfer, A.D. %R 10.1088/0264-9381/13/11/002 %T The stress-energy operator %V 13 %D 1996 %P L129?L134 %J Class. Quantum Grav. %0 Book %U http://relativity.livingreviews.org/refdb/record/18770 %A Henneaux, M. %A Teitelboim, C. %T Quantization of Gauge Systems %C Princeton, NJ %D 1992 %I Princeton University Press %0 %U http://relativity.livingreviews.org/refdb/record/14268 %A Holst, S. %P 5966?5969 %D 1996 %V 53 %T Barbero?s Hamiltonian derived from a generalized Hilbert- Palatini action %R 10.1103/PhysRevD.53.5966 %J Phys. Rev. D %K Holst action %0 %U http://relativity.livingreviews.org/refdb/record/18771 %A Husain, V. %R 10.1088/0264-9381/4/6/017 %T Quantum effects on the singularity of the Gowdy cosmology %V 4 %D 1987 %P 1587?1591 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18772 %A Husain, V. %R 10.1103/PhysRevD.38.3314 %T The Weyl tensor and gravitational entropy %V 38 %D 1988 %P 3314?3317 %J Phys. Rev. D %K Weyl tensor %0 %U http://relativity.livingreviews.org/refdb/record/18773 %A Husain, V. %A Pullin, J. %R 10.1142/S0217732390000834 %T Quantum theory of space-times with one Killing field %V 5 %D 1990 %P 733 %J Mod. Phys. Lett. A %0 %U http://relativity.livingreviews.org/refdb/record/18774 %A Husain, V. %A Smolin, L. %R 10.1016/0550-3213(89)90292-7 %T Exactly solvable quantum cosmologies from two Killing field reductions of general relativity %V 327 %D 1989 %P 205 %J Nucl. Phys. B %0 %U http://relativity.livingreviews.org/refdb/record/18775 %A Husain, V. %R 10.1103/PhysRevD.50.6207 %T Observables for space-times with two Killing field symmetries %V 50 %D 1994 %P 6207?6216 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18776 %A Husain, V. %R 10.1103/PhysRevD.53.4327 %T Einstein?s equations and the chiral model %V 53 %D 1996 %P 4327?4334 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/9832 %A Husain, V. %A Winkler, O. %M 084016 %R 10.1103/PhysRevD.69.084016 %T On singularity resolution in quantum gravity %V 69 %D 2004 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/14269 %A Husain, V. %A Winkler, O. %R 10.1088/0264-9381/22/21/L01 %T Quantum resolution of black hole singularities %V 22 %D 2005 %P L127?L133 %J Class. Quantum Grav. %K Field quantization %0 %U http://relativity.livingreviews.org/refdb/record/18777 %A Husain, V. %A Winkler, O. %R 10.1088/0264-9381/22/21/L02 %T Quantum black holes from null expansion operators %V 22 %D 2005 %P L135?L142 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18778 %A Husain, V. %A Winkler, O. %M 104001 %R 10.1103/PhysRevD.71.104001 %T Flat slice Hamiltonian formalism for dynamical black holes %V 71 %D 2005 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18779 %A Husain, V. %A Terno, D.R. %R 10.1103/PhysRevD.81.044039 %T Dynamics and entanglement in spherically symmetric quantum gravity %V 81 %D 2010 %P 044039 %J Phys. Rev. D %0 Book Section %U http://relativity.livingreviews.org/refdb/record/7203 %A Isenberg, J. %A Nester, J. %P 23?97 %D 1980 %E Held, A. %V 1 %C New York %B General Relativity and Gravitation: One Hundred Years after the Birth of Albert Einstein %T Canonical Gravity %I Plenum Press %K Torsion %K Canonical gravity %0 %U http://relativity.livingreviews.org/refdb/record/18780 %A Jacobson, T. %A Smolin, L. %R 10.1088/0264-9381/5/4/006 %T Covariant action for Ashtekar?s form of canonical gravity %V 5 %D 1988 %P 583?594 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18781 %A Jantzen, R.T. %R 10.1007/BF01221732 %T The dynamical degrees of freedom in spatially homogeneous cosmology %V 64 %D 1979 %P 211?232 %J Commun. Math. Phys. %0 %U http://relativity.livingreviews.org/refdb/record/9835 %A Kastrup, H.A. %A Thiemann, T. %R 10.1016/0550-3213(94)90293-3 %T Spherically symmetric gravity as a completely integrable system %V 425 %D 1994 %P 665?686 %J Nucl. Phys. B %0 %U http://relativity.livingreviews.org/refdb/record/18782 %A Kastrup, H.A. %R 10.1016/0370-2693(96)00846-5 %T The quantum levels of isolated spherically symmetric gravitational systems %V 385 %D 1996 %P 75?80 %J Phys. Lett. B %0 %U http://relativity.livingreviews.org/refdb/record/18783 %A Kennefick, D. %R 10.1063/1.2117822 %T Einstein versus the Physical Review %V 48 %D 2005 %P 43?48 %J Phys. Today %0 %U http://relativity.livingreviews.org/refdb/record/18784 %A Kiefer, C. %A Louko, J. %R 10.1002/(SICI)1521-3889(199901)8:1<67::AID-ANDP67>3.0.CO;2-6 %T Hamiltonian evolution and quantization for extremal black holes %V 8 %D 1999 %P 67?81 %J Ann. Phys. (Berlin) %0 Book %U http://relativity.livingreviews.org/refdb/record/18785 %A Kiefer, C. %I Oxford University Press %T Quantum Gravity %C Oxford; New York %V 136 %7 2nd %D 2007 %0 %U http://relativity.livingreviews.org/refdb/record/18786 %A Kiefer, C. %A Müller-Hill, J. %A Vaz, C. %M 044025 %R 10.1103/PhysRevD.73.044025 %T Classical and quantum LTB model for the non-marginal case %V 73 %D 2006 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18787 %A Kiefer, C. %A Müller-Hill, J. %A Singh, T.P. %A Vaz, C. %M 124010 %R 10.1103/PhysRevD.75.124010 %T Hawking radiation from the quantum Lemaître-Tolman-Bondi model %V 75 %D 2007 %J Phys. Rev. D %K Hawking radiation %0 %U http://relativity.livingreviews.org/refdb/record/18788 %A Korotkin, D. %A Nicolai, H. %R 10.1103/PhysRevLett.74.1272 %T Separation of variables and Hamiltonian formulation for the Ernst equation %V 74 %D 1995 %P 1272?1275 %J Phys. Rev. Lett. %0 %U http://relativity.livingreviews.org/refdb/record/18789 %A Korotkin, D. %A Nicolai, H. %R 10.1016/0370-2693(95)00832-6 %T An integrable model of quantum gravity %V 356 %D 1995 %P 211?216 %J Phys. Lett. B %0 %U http://relativity.livingreviews.org/refdb/record/18790 %A Korotkin, D. %A Nicolai, H. %R 10.1016/0550-3213(96)00320-3 %T Isomonodromic quantization of dimensionally reduced gravity %V 475 %D 1996 %P 397?439 %J Nucl. Phys. B %0 %U http://relativity.livingreviews.org/refdb/record/18791 %A Korotkin, D. %A Samtleben, H. %R 10.1103/PhysRevLett.80.14 %T Canonical quantization of cylindrical gravitational waves with two polarizations %V 80 %D 1998 %P 14?17 %J Phys. Rev. Lett. %K Canonical quantization %0 %U http://relativity.livingreviews.org/refdb/record/18792 %A Kouletsis, I. %A Hájí?ek, P. %A Bi?ák, J. %M 104013 %R 10.1103/PhysRevD.68.104013 %T Gauge-invariant Hamiltonian dynamics of cylindrical gravitational waves %V 68 %D 2003 %J Phys. Rev. D %K Hamiltonian dynamics %0 %U http://relativity.livingreviews.org/refdb/record/18793 %A Kucha?, K.V. %R 10.1103/PhysRevD.4.955 %T Canonical quantization of cylindrical gravitational waves %V 4 %D 1971 %P 955?986 %J Phys. Rev. D %0 Conference Paper %U http://relativity.livingreviews.org/refdb/record/18794 %A Kucha?, K.V. %S Proceedings of the summer school held 14 ? 26 August 1972 at the Banff Centre, Banff, Alberta %I Reidel %T Canonical Quantization of Gravity %B Relativity, Astrophysics and Cosmology %C Dordrecht; Boston %V 38 %E Israel, W. %D 1973 %P 237?288 %0 %U http://relativity.livingreviews.org/refdb/record/9840 %A Kucha?, K.V. %A Ryan Jr, M.P. %R 10.1103/PhysRevD.40.3982 %T Is minisuperspace quantization valid?: Taub in mixmaster %V 40 %D 1989 %P 3982?3996 %J Phys. Rev. D %K Minisuperspace %0 %U http://relativity.livingreviews.org/refdb/record/18795 %A Kucha?, K.V. %R 10.1103/PhysRevD.50.3961 %T Geometrodynamics of Schwarzschild black holes %V 50 %D 1994 %P 3961?3981 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18796 %A Lapedes, A.S. %R 10.1103/PhysRevD.15.946 %T Applications of Arnowitt-Deser-Misner quantization of some metrics with at least two parameter isometry groups %V 15 %D 1977 %P 946?956 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/9842 %A Lewandowski, J. %A Oko?ów, A. %A Sahlmann, H. %A Thiemann, T. %P 703?733 %D 2006 %V 267 %T Uniqueness of Diffeomorphism Invariant States on Holonomy?Flux Algebras %R 10.1007/s00220-006-0100-7 %J Commun. Math. Phys. %K LOST theorem %0 %U http://relativity.livingreviews.org/refdb/record/2680 %A Loll, R. %D 1998 %M lrr-1998-13 %V 1 %U http://www.livingreviews.org/lrr-1998-13 %T Discrete Approaches to Quantum Gravity in Four Dimensions %J Living Rev. Relativity %K Lattice formalisms %K Discreteness %K Simplicial quantum gravity %0 %U http://relativity.livingreviews.org/refdb/record/18797 %A Louko, J. %A Whiting, B.F. %R 10.1103/PhysRevD.51.5583 %T Hamiltonian thermodynamics of the Schwarzschild black hole %V 51 %D 1995 %P 5583?5599 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18798 %A Louko, J. %A Winters-Hilt, S.N. %R 10.1103/PhysRevD.54.2647 %T Hamiltonian thermodynamics of the Reissner?Nordström?anti-de Sitter black hole %V 54 %D 1996 %P 2647?2663 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18799 %A Louko, J. %A Simon, J.Z. %A Winters-Hilt, S.N. %R 10.1103/PhysRevD.55.3525 %T Hamiltonian thermodynamics of a Lovelock black hole %V 55 %D 1997 %P 3525?3535 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18800 %A Louko, J. %A Mäkelä, J. %R 10.1103/PhysRevD.54.4982 %T Area spectrum of the Schwarzschild black hole %V 54 %D 1996 %P 4982?4996 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18801 %A Louko, J. %A Whiting, B.F. %A Friedman, J.L. %R 10.1103/PhysRevD.57.2279 %T Hamiltonian spacetime dynamics with a spherical null-dust shell %V 57 %D 1998 %P 2279?2298 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18802 %A Lund, F. %R 10.1103/PhysRevD.8.3247 %T Hamiltonian treatment of the complete vacuum Schwarzschild geometry %V 8 %D 1973 %P 3247 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18803 %A Maison, D. %R 10.1103/PhysRevLett.41.521 %T Are the stationary, axially symmetric Einstein equations completely integrable? %V 41 %D 1978 %P 521 %J Phys. Rev. Lett. %0 %U http://relativity.livingreviews.org/refdb/record/18804 %A Mäkelä, J. %A Repo, P. %R 10.1103/PhysRevD.57.4899 %T A quantum mechanical model of the Reissner-Nordström black hole %V 57 %D 1998 %P 4899?4916 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18805 %A Manojlovi?, N. %A Mena Marugán, G.A. %R 10.1088/0264-9381/18/11/305 %T Asymptotic behaviour of cylindrical waves interacting with spinning strings %V 18 %D 2001 %P 2065?2086 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18806 %A Martín-Benito, M. %A Garay, L.J. %A Mena Marugán, G.A. %M 083516 %T Hybrid quantum Gowdy cosmology: Combining loop and Fock quantizations %R 10.1103/PhysRevD.78.083516 %V 78 %D 2008 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18807 %A McGuigan, M. %R 10.1103/PhysRevD.43.1199 %T The Gowdy cosmology and two-dimensional gravity %V 43 %D 1991 %P 1199?1211 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18808 %A Mena Marugán, G.A. %R 10.1103/PhysRevD.56.908 %T Canonical quantization of the Gowdy model %V 56 %D 1997 %P 908?919 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18809 %A Mena Marugán, G.A. %A Montejo, M. %M 104017 %R 10.1103/PhysRevD.58.104017 %T Quantization of pure gravitational plane waves %V 58 %D 1998 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18810 %A Mena Marugán, G.A. %A Montejo, M. %M 084019 %R 10.1103/PhysRevD.61.084019 %T Plane waves in quantum gravity: Breakdown of the classical spacetime %V 61 %D 2000 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18811 %A Mena Marugán, G.A. %M 024005 %R 10.1103/PhysRevD.63.024005 %T Gauge fixing and the Hamiltonian for cylindrical spacetimes %V 63 %D 2001 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/11562 %A Misner, C.W. %P 497?509 %D 1957 %V 29 %T Feynman Quantization of General Relativity %R 10.1103/RevModPhys.29.497 %J Rev. Mod. Phys. %0 %U http://relativity.livingreviews.org/refdb/record/18812 %A Misner, C.W. %R 10.1103/PhysRevD.8.3271 %T A minisuperspace example: The Gowdy T^{3} cosmology %V 8 %D 1973 %P 3271?3285 %J Phys. Rev. D %0 Book Section %U http://relativity.livingreviews.org/refdb/record/18813 %A Misner, C.W. %I W.H. Freeman %T Minisuperspace %B Magic Without Magic: John Archibald Wheeler. A Collection of Essays in Honor of his Sixtieth Birthday %C San Francisco %E Klauder, J.R. %D 1972 %P 441?473 %0 %U http://relativity.livingreviews.org/refdb/record/18814 %A Mitter, P.K. %A Viallet, C.M. %R 10.1007/BF01209307 %T On the bundle of connections and the gauge orbit manifold in Yang-Mills theory %V 79 %D 1981 %P 457?472 %J Commun. Math. Phys. %K Yang-Mills theory %0 %U http://relativity.livingreviews.org/refdb/record/14349 %A Modesto, L. %M 124009 %R 10.1103/PhysRevD.70.124009 %T Disappearance of black hole singularity in quantum gravity %V 70 %D 2004 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/9848 %A Modesto, L. %R 10.1007/s10773-006-9188-y %T The Kantowski-Sachs space-time in loop quantum gravity %V 45 %D 2006 %P 2235?2246 %J Int. J. Theor. Phys. %0 %U http://relativity.livingreviews.org/refdb/record/9849 %A Modesto, L. %R 10.1088/0264-9381/23/18/006 %T Loop quantum black hole %V 23 %D 2006 %P 5587?5601 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18815 %A Modesto, L. %R 10.1007/s10773-007-9458-3 %T Gravitational collapse in loop quantum gravity %V 47 %D 2008 %P 357?373 %J Int. J. Theor. Phys. %0 %U http://relativity.livingreviews.org/refdb/record/14284 %A Modesto, L. %M 459290 %R 10.1155/2008/459290 %T Black hole interior from loop quantum gravity %V 2008 %D 2008 %J Adv. High Energy Phys. %0 Unpublished Work %U http://relativity.livingreviews.org/refdb/record/14355 %A Modesto, L. %S XVII SIGRAV Conference, Torino, September 4 ? 7, 2006 %9 conference paper %T Loop quantum gravity and black hole singularity %D 2007 %0 Electronic Source %U http://relativity.livingreviews.org/refdb/record/18816 %A Modesto, L. %9 arxiv %T Space-time structure of loop quantum black hole %D 2008 %0 %U http://relativity.livingreviews.org/refdb/record/18817 %A Modesto, L. %A Prémont-Schwarz, I. %M 064041 %R 10.1103/PhysRevD.80.064041 %T Self-dual black holes in loop quantum gravity: Theory and phenomenology %V 80 %D 2009 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/1775 %A Moncrief, V. %R 10.1016/S0003-4916(86)80009-4 %T Reduction of Einstein?s equations for vacuum space-times with spacelike U(1) isometry groups %V 167 %D 1986 %P 118?142 %J Ann. Phys. (N.Y.) %0 %U http://relativity.livingreviews.org/refdb/record/17364 %A Mostert, P.S. %T On a compact Lie group acting on a manifold %V 65 %D 1957 %P 447?455 %J Ann. Math. %K Groups of motion %0 %U http://relativity.livingreviews.org/refdb/record/18818 %A Mostert, P.S. %T On a compact Lie group acting on a manifold (Errata) %V 66 %D 1957 %P 589 %J Ann. Math. %0 %U http://relativity.livingreviews.org/refdb/record/18819 %A Mukhanov, V.F. %T Are black holes quantized? %V 44 %D 1986 %P 63?66 %J JETP Lett. %0 %U http://relativity.livingreviews.org/refdb/record/18820 %A Neville, D.E. %R 10.1103/PhysRevD.57.986 %T Energy and directional signatures for plane quantized gravity waves %V 57 %D 1998 %P 986?1008 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18821 %A Neville, D.E. %M 124004 %R 10.1103/PhysRevD.73.124004 %T Volume operator for spin networks with planar or cylindrical symmetry %V 73 %D 2006 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18822 %A Neville, D.E. %M 124005 %R 10.1103/PhysRevD.73.124005 %T Volume operator for singly polarized gravity waves with planar or cylindrical symmetry %V 73 %D 2006 %J Phys. Rev. D %0 Unpublished Work %U http://relativity.livingreviews.org/refdb/record/18823 %A Nicolai, H. %A Korotkin, D. %A Samtleben, H. %S Lectures given at NATO Advanced Study Institute on Quantum Fields and Quantum Space Time, Cargčse, France, 22 July ? 3 August 1996 %9 conference paper %T Integrable classical and quantum gravity %D 1996 %0 %U http://relativity.livingreviews.org/refdb/record/11684 %A Niedermaier, M. %M 066 %R 10.1088/1126-6708/2002/12/066 %T Renormalization and asymptotic safety in truncated quantum Einstein gravity %N 12 %V %D 2002 %J J. High Energy Phys. %K Sigma models %0 %U http://relativity.livingreviews.org/refdb/record/18824 %A Niedermaier, M. %A Reuter, M. %D 2006 %M lrr-2006-5 %V 9 %U http://www.livingreviews.org/lrr-2006-5 %T The Asymptotic Safety Scenario in Quantum Gravity %J Living Rev. Relativity %K Asymptotic safety %0 %U http://relativity.livingreviews.org/refdb/record/11717 %A Osborn, H. %R 10.1016/0550-3213(87)90599-2 %T Renormalisation and composite operators in non-linear ? models %V 294 %D 1987 %P 595?620 %J Nucl. Phys. B %K Background field method %0 %U http://relativity.livingreviews.org/refdb/record/18825 %A Palais, R.S. %R 10.1007/BF01941322 %T The principle of symmetric criticality %V 69 %D 1979 %P 13?30 %J Commun. Math. Phys. %0 %U http://relativity.livingreviews.org/refdb/record/18826 %A Peltola, A. %A Kunstatter, G. %M 061501(R) %R 10.1103/PhysRevD.79.061501 %T Complete single-horizon quantum corrected black hole spacetime %V 79 %D 2008 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18827 %A Peltola, A. %A Kunstatter, G. %M 044031 %R 10.1103/PhysRevD.80.044031 %T Effective polymer dynamics of D-dimensional black hole interiors %V 80 %D 2009 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/2791 %A Pierri, M. %R 10.1142/S0218271802001779 %T Probing quantum general relativity through exactly soluble midi-superspaces. II: Polarized Gowdy models %V 11 %D 2002 %P 135 %J Int. J. Mod. Phys. D %0 %U http://relativity.livingreviews.org/refdb/record/7250 %A Regge, T. %A Teitelboim, C. %P 286?318 %D 1974 %V 88 %T Role of surface integrals in the Hamiltonian formulation of general relativity %R 10.1016/0003-4916(74)90404-7 %J Ann. Phys. (N.Y.) %K ADM formalism %K Energy and momentum %K Hamiltonian general relativity %0 %U http://relativity.livingreviews.org/refdb/record/11699 %A Romano, J.D. %A Torre, C.G. %R 10.1103/PhysRevD.53.5634 %T Internal time formalism for spacetimes with two Killing vectors %V 53 %D 1996 %P 5634?5650 %J Phys. Rev. D %0 Electronic Source %U http://relativity.livingreviews.org/refdb/record/18828 %A Romano, J.D. %9 arxiv %D 1995 %T Spherically Symmetric Scalar Field Collapse: An Example of the Spacetime Problem of Time %0 Book %U http://relativity.livingreviews.org/refdb/record/1806 %A Ryan Jr, M.P. %A Shepley, L.C. %I Princeton University Press %C Princeton, NJ %D 1975 %T Homogeneous Relativistic Cosmologies %K Relativistic cosmology %0 %U http://relativity.livingreviews.org/refdb/record/18829 %A Samuel, J. %R 10.1007/BF02847105 %T A Lagrangian basis for Ashtekar?s formulation of canonical gravity %V 28 %D 1987 %P L429?L432 %J Pramana %0 %U http://relativity.livingreviews.org/refdb/record/18830 %A Singer, I.M. %R 10.1007/BF01609471 %T Some remarks on the Gribov ambiguity %V 60 %D 1978 %P 7?12 %J Commun. Math. Phys. %0 %U http://relativity.livingreviews.org/refdb/record/7621 %A Schmidt, B.G. %R 10.1088/0264-9381/13/10/017 %T Vacuum spacetimes with toroidal null infinities %V 13 %D 1996 %P 2811?2816 %J Class. Quantum Grav. %K Asymptotics %0 %U http://relativity.livingreviews.org/refdb/record/18831 %A Shale, D. %T Linear symmetries of free boson fields %V 103 %D 1962 %P 149?169 %J Trans. Amer. Math. Soc. %0 %U http://relativity.livingreviews.org/refdb/record/18832 %A Siegl, R. %R 10.1088/0264-9381/9/1/021 %T Some underlying manifolds of the Schwarzschild solution %V 9 %D 1992 %P 239?240 %J Class. Quantum Grav. %0 Book %U http://relativity.livingreviews.org/refdb/record/4028 %A Stephani, H. %A Kramer, D. %A MacCallum, M.A.H. %A Hoenselaers, C. %A Herlt, E. %D 2003 %7 2nd %C Cambridge; New York %T Exact Solutions of Einstein?s Field Equations %I Cambridge University Press %0 %U http://relativity.livingreviews.org/refdb/record/18833 %A Szenthe, J. %R 10.1017/S030500410400790X %T On the global geometry of spherically symmetric space-times %V 137 %D 2004 %P 741?754 %J Math. Proc. Camb. Phil. Soc. %0 %U http://relativity.livingreviews.org/refdb/record/9871 %A Thiemann, T. %A Kastrup, H.A. %R 10.1016/0550-3213(93)90623-W %T Canonical quantization of spherically symmetric gravity in Ashtekar?s self-dual representation %V 399 %D 1993 %P 211?258 %J Nucl. Phys. B %0 %U http://relativity.livingreviews.org/refdb/record/18834 %A Torre, C.G. %R 10.1023/A:1026650212053 %T Midisuperspace models of canonical quantum gravity %V 38 %D 1999 %P 1081?1102 %J Int. J. Theor. Phys. %0 %U http://relativity.livingreviews.org/refdb/record/18835 %A Torre, C.G. %R 10.1088/0264-9381/8/10/015 %T A complete set of observables for cylindrically symmetric gravitational fields %V 8 %D 1991 %P 1895?1912 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18836 %A Torre, C.G. %A Varadarajan, M. %M 064007 %R 10.1103/PhysRevD.58.064007 %T Quantum fields at any time %V 58 %D 1998 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/2643 %A Torre, C.G. %A Varadarajan, M. %R 10.1088/0264-9381/16/8/306 %T Functional evolution of free quantum fields %V 16 %D 1999 %P 2651?2668 %J Class. Quantum Grav. %K Quantum field theory in curved spacetime %K Time foliations %K Problem of time %0 %U http://relativity.livingreviews.org/refdb/record/18837 %A Torre, C.G. %M 084017 %R 10.1103/PhysRevD.66.084017 %T Quantum dynamics of the polarized Gowdy T^{3} model %V 66 %D 2002 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18838 %A Torre, C.G. %R 10.1088/0264-9381/23/5/007 %T Observables for the polarized Gowdy model %V 23 %D 2006 %P 1543?1556 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18839 %A Torre, C.G. %R 10.1088/0264-9381/24/1/001 %T Schrödinger representation for the polarized Gowdy model %V 24 %D 2007 %P 1?13 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18840 %A Torre, C.G. %M 062303 %R 10.1063/1.3131678 %T Symmetry Reduction of Quasi-Free States %V 50 %D 2009 %J J. Math. Phys. %0 %U http://relativity.livingreviews.org/refdb/record/1868 %A Unruh, W.G. %P 870?892 %D 1976 %V 14 %T Notes on black-hole evaporation %R 10.1103/PhysRevD.14.870 %J Phys. Rev. D %K Astronomical models %K Evaporation %K Bosons %K Boundary conditions %K Boundary value problems %K Fermions %K Neutrinos %K Stress tensors %K Tensor analysis %K Two dimensional models %K Black hole evaporation %0 %U http://relativity.livingreviews.org/refdb/record/18841 %A Varadarajan, M. %R 10.1103/PhysRevD.52.7080 %T Classical and quantum geometrodynamics of 2-D vacuum dilatonic black holes %V 52 %D 1995 %P 7080?7088 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18842 %A Varadarajan, M. %R 10.1103/PhysRevD.52.2020 %T Gauge fixing of one Killing field reductions of canonical gravity: The case of asymptotically flat induced two-geometry %V 52 %D 1995 %P 2020?2029 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/2790 %A Varadarajan, M. %R 10.1088/0264-9381/17/1/313 %T On the metric operator for quantum cylindrical waves %V 17 %D 2000 %P 189?199 %J Class. Quantum Grav. %0 %U http://relativity.livingreviews.org/refdb/record/18843 %A Varadarajan, M. %M 084007 %R 10.1103/PhysRevD.63.084007 %T Kruskal coordinates as canonical variables for Schwarzschild black holes %V 63 %D 2001 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18844 %A Vaz, C. %A Witten, L. %M 024009 %R 10.1103/PhysRevD.60.024009 %T Mass quantization of the Schwarzschild black hole %V 60 %D 1999 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18845 %A Vaz, C. %M 064017 %R 10.1103/PhysRevD.61.064017 %T Canonical quantization, conformal fields and the statistical entropy of the Schwarzschild black hole %V 61 %D 2000 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18846 %A Vaz, C. %A Witten, L. %M 024008 %R 10.1103/PhysRevD.63.024008 %T Quantum states and the statistical entropy of the charged black hole %V 63 %D 2001 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18847 %A Vaz, C. %A Witten, L. %A Singh, T.P. %M 104020 %R 10.1103/PhysRevD.63.104020 %T Toward a midisuperspace quantization of Lemaître-Tolman-Bondi collapse models %V 63 %D 2001 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18848 %A Vaz, C. %A Witten, L. %M 084005 %R 10.1103/PhysRevD.64.084005 %T Quantum black holes from quantum collapse %V 64 %D 2001 %J Phys. Rev. D %K Quantum black holes %0 %U http://relativity.livingreviews.org/refdb/record/18849 %A Vaz, C. %A Witten, L. %A Singh, T.P. %M 104016 %R 10.1103/PhysRevD.65.104016 %T Toward a quantization of null dust collapse %V 65 %D 2002 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18850 %A Vaz, C. %A Kiefer, C. %A Singh, T.P. %A Witten, L. %M 024014 %R 10.1103/PhysRevD.67.024014 %T Quantum general relativity and Hawking radiation %V 67 %D 2003 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18851 %A Vaz, C. %A Wijewardhana, L.C.R. %M 084014 %R 10.1103/PhysRevD.79.084014 %T Spectrum and entropy of AdS black holes %V 79 %D 2009 %J Phys. Rev. D %0 %U http://relativity.livingreviews.org/refdb/record/18852 %A Vaz, C. %R 10.1007/s10714-009-0848-0 %T Signatures of an emergent gravity from black hole entropy %V 41 %D 2009 %P 2307?2311 %J Gen. Relativ. Gravit. %0 %U http://relativity.livingreviews.org/refdb/record/18853 %A Gómez Vergel, D. %A Villaseńor, E.J.S. %R 10.1016/j.aop.2009.03.003 %T The time-dependent quantum harmonic oscillator revisited: Applications to quantum field theory %V 324 %D 2009 %P 1360?1385 %J Ann. Phys. (N.Y.) %0 %U http://relativity.livingreviews.org/refdb/record/18854 %A Gómez Vergel, D. %M 175016 %R 10.1088/0264-9381/25/17/175016 %T Schrödinger quantization of linearly polarized Gowdy S^{1}× S^{2} and S^{3} models coupled to massless scalar fields %V 25 %D 2008 %J Class. Quantum Grav. %0 Book %U http://relativity.livingreviews.org/refdb/record/845 %A Wald, R.M. %D 1984 %C Chicago %T General Relativity %I University of Chicago Press %K Gravity %K Special relativity %K Relativity %K Analysis %K Equivalence principle %K Relativistic stars %K Spacetime formalism %K Spinors %K Global methods %K Singularity theorems %0 Book %U http://relativity.livingreviews.org/refdb/record/1847 %A Wald, R.M. %D 1994 %C Chicago %T Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics %I University of Chicago Press %K Thermodynamics %K Generalized second law of thermodynamics %0 Book %U http://relativity.livingreviews.org/refdb/record/18855 %A Woodhouse, N.M.J. %I Clarendon Press; Oxford University Press %T Geometric Quantization %C Oxford; New York %7 2nd %D 1992 %0 %U http://relativity.livingreviews.org/refdb/record/3033 %A York Jr, J.W. %R 10.1103/PhysRevD.33.2092 %T Black hole thermodynamics and the Euclidean Einstein action %V 33 %D 1986 %P 2092?2099 %J Phys. Rev. D