| 1 | Abrahams, A.M., and Cook, G.B., “Collisions of boosted black holes: Perturbation theory
prediction of gravitational radiation”, Phys. Rev. D, 50, R2364–R2367, (1994). Related online
version (cited on 23 May 1994):
|
|
| 2 | Abrahams, A.M., and Price, R.H., “Applying black hole perturbation theory to numerically
generated spacetimes”, Phys. Rev. D, 53(4), 1963–1971, (1996). Related online version (cited
on 28 August 1995):
|
|
| 3 | Abrahams, A.M., Shapiro, S.L., and Teukolsky, S.A., “Calculation of gravitational waveforms
from black hole collisions and disk collapse: Applying perturbation theory to numerical
spacetimes”, Phys. Rev. D, 51(8), 4295–4301, (1995). Related online version (cited on 29 August
1994):
|
|
| 4 | Albererio, S., Ferreira, L.S., and Streit, L., eds., Resonances, Models and Phenomena, Proceedings of a workshop held at the Centre for Interdisciplinary Research Bielefeld University, Bielefeld, Germany, April 9–14, 1984, Lecture Notes in Physics, vol. 211, (Springer, Berlin, Germany; New York, U.S.A., 1984). | |
| 5 | Allen, G.D., Andersson, N., Kokkotas, K.D., Laguna, P., Pullin, J., and Ruoff, J., “Close-limit
approximation to neutron star collisions”, Phys. Rev. D, 60, 104021, 1–9, (1999). Related online
version (cited on 29 March 1999):
|
|
| 6 | Allen, G.D., Andersson, N., Kokkotas, K.D., and Schutz, B.F., “Gravitational waves from
pulsating stars: Evolving the perturbation equations for a relativistic star”, Phys. Rev. D, 58,
124012, (1998). Related online version (cited on 8 April 1997):
|
|
| 7 | Allen, G.D., Camarda, K., and Seidel, E., “Evolution of Distorted Black Holes: A Perturbative
Approach”, (June 1998). URL (cited on 3 June 1998):
|
|
| 8 | Andersson, N., “A numerically accurate investigation of black-hole normal modes”, Proc. R. Soc. London, 439, 47–58, (1992). | |
| 9 | Andersson, N., “Normal-mode frequencies of Reissner–Nordström black holes”, Proc. R. Soc. London, 442, 427–436, (1993). | |
| 10 | Andersson, N., “On the asymptotic distribution of quasinormal-mode frequencies for Schwarzschild black holes”, Class. Quantum Grav., 10, L61–L67, (1993). | |
| 11 | Andersson, N., “Total transmission through the Schwarzschild black hole potential barrier”, Class. Quantum Grav., 11, L39–L44, (1994). | |
| 12 | Andersson, N., “Excitation of Schwarzschild black hole quasinormal modes”, Phys. Rev. D, 51, 353–363, (1995). | |
| 13 | Andersson, N., “Two simple models for gravitational-wave modes of compact stars”, Gen. Relativ. Gravit., 28, 1433–1445, (1996). | |
| 14 | Andersson, N., “A new class of unstable modes of rotating relativistic stars”, Astrophys. J.,
502, 708–713, (1998). Related online version (cited on 24 June 1997):
|
|
| 15 | Andersson, N., Araujo, M.E., and Schutz, B.F., “The phase-integral method and the black hole normal modes”, Class. Quantum Grav., 10, 735–755, (1993). | |
| 16 | Andersson, N., Araujo, M.E., and Schutz, B.F., “Quasinormal modes of Reissner–Nordström black holes: Phase-integral approach”, Phys. Rev. D, 49, 2703–2709, (1994). | |
| 17 | Andersson, N., Kojima, Y., and Kokkotas, K.D., “On the oscillation spectra of ultracompact
stars: An Extensive survey of gravitational wave modes”, Astrophys. J., 462, 855–864, (1996).
Related online version (cited on 29 December 1995):
|
|
| 18 | Andersson, N., and Kokkotas, K.D., “Gravitational Waves and Pulsating Stars: What Can We
Learn from Future Observations?”, Phys. Rev. Lett., 77, 4134–4137, (1996). Related online
version (cited on 16 October 1996):
|
|
| 19 | Andersson, N., and Kokkotas, K.D., “Towards gravitational wave asteroseismology”, Mon. Not.
R. Astron. Soc., 299, 1059–1068, (1998). Related online version (cited on 28 November 1997):
|
|
| 20 | Andersson, N., Kokkotas, K.D., Laguna, P., Papadopoulos, P., and Sipior, M.S., “Construction
of initial data for perturbations of relativistic stars”, Phys. Rev. D, 60, 124004, 1–11, (1999).
Related online version (cited on 23 April 1999):
|
|
| 21 | Andersson, N., Kokkotas, K.D., and Schutz, B.F., “A new numerical approach to the oscillation
modes of relativistic stars”, Mon. Not. R. Astron. Soc., 274, 1039–1048, (1995). Related online
version (cited on 8 March 1995):
|
|
| 22 | Andersson, N., Kokkotas, K.D., and Schutz, B.F., “Space-time modes of relativistic stars”,
Mon. Not. R. Astron. Soc., 280, 1230–1234, (1996). Related online version (cited on 10 January
1996):
|
|
| 23 | Andersson, N., Kokkotas, K.D., and Schutz, B.F., “Gravitational Radiation Limit on the Spin
of Young Neutron Stars”, Astrophys. J., 510, 846–853, (1999). Related online version (cited
on 17 May 1998):
|
|
| 24 | Andersson, N., Kokkotas, K.D., and Stergioulas, N., “On the Relevance of the r-Mode
Instability for Accreting Neutron Stars and White Dwarfs”, Astrophys. J., 516, 307–314,
(1999). Related online version (cited on 5 June 1998):
|
|
| 25 | Andersson, N., and Linnaeus, S., “Quasinormal modes of a Schwarzschild black hole: Improved phase-integral treatment”, Phys. Rev. D, 46, 4179–4187, (1992). | |
| 26 | Andersson, N., and Onozawa, H., “Quasinormal modes of nearly extreme Reissner–Nordström
black holes”, Phys. Rev. D, 54, 7470–7475, (1996). Related online version (cited on 23 July
1996):
|
|
| 27 | Andrade, Z., and Price, R.H., “Headon collisions of unequal mass black holes: close limit
predictions.”, Phys. Rev. D, 56, 6336–6350, (1997). Related online version (cited on 8 November
1996):
|
|
| 28 | Andrade, Z., and Price, R.H., “Excitation of the odd parity quasinormal modes of compact
objects”, Phys. Rev. D, 60, 104037, 1–15, (1999). Related online version (cited on 20 February
1999):
|
|
| 29 | Anninos, P., and Brandt, S.R., “Head-On Collision of Two Unequal Mass Black Holes”, Phys.
Rev. Lett., 81, 508–511, (1998). Related online version (cited on 6 June 1998):
|
|
| 30 | Anninos, P., Hobill, D.W., Seidel, E., Smarr, L.L., and Suen, W.-M., “Collision of Two Black
Holes”, Phys. Rev. Lett., 71, 2851–2854, (1993). Related online version (cited on 14 September
1993):
|
|
| 31 | Anninos, P., Price, R.H., Pullin, J., Seidel, E., and Suen, W.-M., “Headon collision of two black
holes: Comparison of different approaches.”, Phys. Rev. D, 52, 4462–4480, (1995). Related
online version (cited on 23 May 1995):
|
|
| 32 | Araujo, M.E., Nicholson, D., and Schutz, B.F., “On the Bohr–Sommerfeld formula for black hole normal modes”, Class. Quantum Grav., 10, 1127–1138, (1993). | |
| 33 | Baber, W.G., and Hassé, H.R., “The two centre problem in wave mechanics”, Proc. Cambridge Philos. Soc., 25, 564–581, (1935). | |
| 34 | Bachelot, A., and Motet-Bachelot, A., “Les resonances d’un trou noir de Schwarzschild”, Ann. Inst. Henri Poincare, 59, 3, (1993). | |
| 35 | Bachelot, A., and Motet-Bachelot, A., “Resonances of Schwarzschild black holes”, in Donato, A., and Oliveri, F., eds., Nonlinear Hyperbolic Problems: Theoretical and Computational Aspects, Proceedings of the Fourth International Conference on Hyperbolic Problems, Taormina, Italy, April 3–8, 1992, Notes on Numerical Fluid Mechanics, vol. 43, (Informatica International, Happauge, U.S.A., 1993). | |
| 36 | Barack, L., “Late time dynamics of scalar perturbations outside black holes. II. Schwarzschild
geometry”, Phys. Rev. D, 59, 044017, 1–17, (1999). Related online version (cited on 10
November 1998):
|
|
| 37 | Barack, L., and Ori, A., “Late-Time Decay of Scalar Perturbations Outside Rotating Black
Holes”, Phys. Rev. Lett., 82, 4388–4391, (1999). Related online version (cited on 25 February
1999):
|
|
| 38 | Bardeen, J.M., and Press, W.H., “Radiation fields in the Schwarzschild background”, J. Math. Phys., 14, 7–19, (1972). | |
| 39 | Barreto, A.S., and Zworski, M., “Distribution of resonances for spherical black holes”, Math. Res. Lett., 4, 103–121, (1997). | |
| 40 | Baumgarte, T.W., and Schmidt, B.G., “Quasi-normal modes in coupled systems”, Class. Quantum Grav., 10, 2067–2076, (1993). | |
| 41 | Bender, C.M., and Orszag, S.A., Advanced Mathematical Methods for Scientists and Engineers, International Series in Pure and Applied Mathematics, (McGraw-Hill, New York, U.S.A., 1978). | |
| 42 | Beyer, H.R., “On the Completeness of the Quasinormal Modes of the Pöschl-Teller Potential”,
Commun. Math. Phys., 204, 397–423, (1999). Related online version (cited on 10 March 1999):
|
|
| 43 | Beyer, H.R., and Schmidt, B.G., “Newtonian stellar oscillations”, Astron. Astrophys., 296, 722–726, (1995). | |
| 44 | Bildsten, L., “Gravitational radiation and rotation of accreting neutron stars”, Astrophys. J.
Lett., 501, L89–L93, (1998). Related online version (cited on 29 April 1998):
|
|
| 45 | Blanchet, L., Iyer, B.R., Will, C.M., and Wiseman, A.G., “Gravitational waveforms from
inspiralling compact binaries to second-post-Newtonian order”, Class. Quantum Grav., 13,
575–584, (1996). Related online version (cited on 13 February 1996):
|
|
| 46 | Blome, H.J., and Mashhoon, B., “Quasi-normal oscillations of Schwarzschild black hole”, Phys. Lett. A, 100, 231–234, (1984). | |
| 47 | Bonazzola, S., and Marck, J.-A., in Díaz Alonso, J., and Lorente Páramo, M., eds., Relativity in General, Proceeedings of the Relativity Meeting ’93, Salas, Asturias, Spain, September 7–10, 1993, (Editions Frontières, Gif-sur-Yvette, France, 1995). | |
| 48 | Borrelli, A., “Gravitational radiation emitted when a mass falls onto a compact star”, Nuovo Cimento, 112, 225–241, (1997). | |
| 49 | Brady, P.R., Chambers, C.M., Krivan, W., and Laguna, P., “Telling tails in the presence of a
cosmological constant”, Phys. Rev. D, 55(12), 7538–7545, (1997). Related online version (cited
on 23 November 1996):
|
|
| 50 | Bruni, M., Matarrese, S., Mollerach, S., and Sonego, S., “Perturbations of spacetime: gauge
transformations and gauge invariance at second order and beyond”, Class. Quantum Grav.,
14, 2585–2606, (1997). Related online version (cited on 13 September 1996):
|
|
| 51 | Burrows, A., and Hayes, J., “Pulsar recoil and gravitational radiation due to asymmetrical
stellar collapse and explosion”, Phys. Rev. Lett., 76, 352–355, (1996). Related online version
(cited on 22 November 1995):
|
|
| 52 | Chandrasekhar, S., “The dynamical instability of gaseous masses approaching the Schwarzschild limit in general relativity”, Astrophys. J., 140, 417–433, (1964). | |
| 53 | Chandrasekhar, S., “Solutions of Two Problems in the Theory of Gravitational Radiation”, Phys. Rev. Lett., 24, 611–615, (1970). | |
| 54 | Chandrasekhar, S., “On the equations governing the perturbations of the Schwarzschild black hole”, Proc. R. Soc. London, Ser. A, 343, 289–298, (1975). | |
| 55 | Chandrasekhar, S., “On one-dimensional potential barriers having equal reflexion and transmission coefficients”, Proc. R. Soc. London, Ser. A, 369, 425–433, (1980). | |
| 56 | Chandrasekhar, S., The Mathematical Theory of Black Holes, The International Series of Monographs on Physics, vol. 69, (Clarendon, Oxford, U.K., 1983). | |
| 57 | Chandrasekhar, S., “On algebraically special perturbations of black holes”, Proc. R. Soc. London, Ser. A, 392, 1–13, (1984). | |
| 58 | Chandrasekhar, S., and Detweiler, S.L., “The quasi-normal modes of the Schwarzschild black hole”, Proc. R. Soc. London, Ser. A, 344, 441–452, (1975). | |
| 59 | Chandrasekhar, S., and Ferrari, V., “On the non-radial oscillations of a star”, Proc. R. Soc. London, Ser. A, 432, 247–279, (1991). | |
| 60 | Chandrasekhar, S., and Ferrari, V., “On the non-radial oscillations of a star. III - A reconsideration of the axial modes”, Proc. R. Soc. London, Ser. A, 434, 449–457, (1991). | |
| 61 | Chandrasekhar, S., and Ferrari, V., “On the non-radial oscillations of slowly rotating stars induced by the Lense–Thirring effect”, Proc. R. Soc. London, Ser. A, 433, 423–440, (1991). | |
| 62 | Ching, E.S.C., Leung, P.T., Suen, W.-M., and Young, K., “Wave propagation in gravitating
systems: Late time behavior”, Phys. Rev. D, 52, 2118–2132, (1995). Related online version
(cited on 14 July 1995):
|
|
| 63 | Ching, E.S.C., Leung, P.T., Suen, W.-M., and Young, K., “Wave propagation in gravitational
systems: Completeness of quasinormal modes”, Phys. Rev. D, 54, 3778–3791, (1996). Related
online version (cited on 14 July 1995):
|
|
| 64 | Cowling, T.G., “The non-radial oscillations of polytropic stars”, Mon. Not. R. Astron. Soc., 101, 367–375, (1941). | |
| 65 | Cox, J.P., Theory of Stellar Pulsations, (Princeton University Press, Princeton, U.S.A., 1980). | |
| 66 | Cunningham, C.T., Price, R.H., and Moncrief, V., “Radiation from collapsing relativistic stars. I. Linearized odd-parity radiation”, Astrophys. J., 224, 643–667, (1978). | |
| 67 | Cunningham, C.T., Price, R.H., and Moncrief, V., “Radiation from collapsing relativistic stars. I. Linearized even-parity radiation”, Astrophys. J., 230, 870–892, (1979). | |
| 68 | Cunningham, C.T., Price, R.H., and Moncrief, V., “Radiation from collapsing relativistic stars III. Second order perurbations of collapse with rotation”, Astrophys. J., 236, 674–692, (1980). | |
| 69 | Cutler, C., and Lindblom, L., “The effect of viscosity on neutron star oscillations”, Astrophys. J., 314, 234–241, (1987). | |
| 70 | Cutler, C., and Lindblom, L., “Gravitational helioseismology?”, Phys. Rev. D, 54, 1287–1290, (1996). | |
| 71 | Cutler, C., Lindblom, L., and Splinter, R.J., “Damping times for neutron star oscillations”, Astrophys. J., 363, 603–611, (1990). | |
| 72 | Damour, T., Deruelle, N., and Ruffini, R., “On quantum resonances in stationary geometries”, Lett. Nuovo Cimento, 15, 257, (1976). | |
| 73 | Davis, M., Ruffini, R., Press, W.H., and Price, R.H., “Gravitational Radiation from a Particle Falling Radially into a Schwarzschild Black Hole”, Phys. Rev. Lett., 27, 1466–1469, (1971). | |
| 74 | Detweiler, S.L., “A variational calculation of the fundamental frequencies of quadrupole pulsation of fluid spheres in general relativity”, Astrophys. J., 197, 203–217, (1975). | |
| 75 | Detweiler, S.L., “A variational principle and a stability criterion for the dipole modes of pulsation of stellar models in general relativity”, Astrophys. J., 201, 440–446, (1975). | |
| 76 | Detweiler, S.L., “On resonant oscillations of a rapidly rotating black hole”, Proc. R. Soc. London, Ser. A, 352, 381–395, (1977). | |
| 77 | Detweiler, S.L., “Klein–Gordon equation and rotating black holes”, Phys. Rev. D, 22, 2323–2326, (1980). | |
| 78 | Detweiler, S.L., and Ipser, J.R., “A Variational Principle and a Stability Criterion for the Non-Radial Modes of Pulsation of Stellar Models in General Relativity”, Astrophys. J., 185, 685–707, (1973). | |
| 79 | Detweiler, S.L., and Lindblom, L., “On the nonradial pulsations of general relativistic stellar models”, Astrophys. J., 292, 12–15, (1985). | |
| 80 | Detweiler, S.L., and Szedenits, E., “Black holes and gravitational waves. II - Trajectories plunging into a nonrotating hole”, Astrophys. J., 231, 211–218, (1979). | |
| 81 | Duncan, R.C., and Thompson, C., “Formation of very strongly magnetized neutron stars: Implications for gamma-ray bursts”, Astrophys. J. Lett., 392, L9–L13, (1992). | |
| 82 | Dunham, J.L., “The Wentzel–Brillouin–Kramers method of solving the wave equation”, Phys. Rev., 41, 713–720, (1932). | |
| 83 | Echeverria, F., “Gravitational wave measurements of the mass and angular momentum of a black hole”, Phys. Rev. D, 40, 3194–3203, (1989). | |
| 84 | Ferrari, V., Gualtieri, L., and Borrelli, A., “Stellar pulsations excited by a scattered mass”,
Phys. Rev. D, 59, 124020, (1999). Related online version (cited on 22 January 1999):
|
|
| 85 | Ferrari, V., and Mashhoon, B., “New approach to the quasinormal modes of a black hole”, Phys. Rev. D, 30, 295–304, (1984). | |
| 86 | Ferrari, V., and Mashhoon, B., “Oscillations of a black hole”, Phys. Rev. Lett., 52, 1361–1346, (1984). | |
| 87 | Finn, L.S., “g-modes of non-radially pulsating relativistic stars: The slow-motion formalism”, Mon. Not. R. Astron. Soc., 222, 393–416, (1986). | |
| 88 | Finn, L.S., “g-modes in zero-temperature neutron stars”, Mon. Not. R. Astron. Soc., 227, 265–293, (1987). | |
| 89 | Finn, L.S., “Detection, measurement, and gravitational radiation”, Phys. Rev. D, 46, 5236–5249, (1992). | |
| 90 | Flanagan, É.É., and Hughes, S.A., “Measuring gravitational waves from binary black hole
coalescences. I. Signal to noise for inspiral, merger, and ringdown”, Phys. Rev. D, 57,
4535–4565, (1998).
ADS: |
|
| 91 | Flanagan, É.É., and Hughes, S.A., “Measuring gravitational waves from binary black hole
coalescences. II. The wave’s information and its extraction, with and without templates”, Phys.
Rev. D, 57(8), 4566–4587, (1998). Related online version (cited on 30 October 1997):
|
|
| 92 | Frasca, S., and Papa, M.A., “Networks of resonant gravitational-wave antennas”, Int. J. Mod. Phys. D, 4, 1–50, (1995). | |
| 93 | Friedman, J.L., personal communication. | |
| 94 | Friedman, J.L., and Morsink, S.M., “Axial instability of rotating relativistic stars”, Astrophys.
J., 502, 714–720, (1998). Related online version (cited on 23 June 1997):
|
|
| 95 | Friedman, J.L., and Schutz, B.F., “Secular Instability of Rotating Newtonian Stars”, Astrophys.
J., 222, 281–296, (1978).
ADS: |
|
| 96 | Fröman, N., Fröman, P.O., Andersson, N., and Hökback, A., “Black hole normal modes: Phase integral treatment”, Phys. Rev. D, 45, 2609–2616, (1992). | |
| 97 | Fröman, P.O., and Fröman, N., JWKB Approximation: Contributions to the Theory, (North-Holland, Amsterdam, Netherlands, 1965). | |
| 98 | Gautschy, A., and Saio, H., “Stellar pulsations across the HR diagram: Part I”, Annu. Rev. Astron. Astrophys., 33, 75–113, (1995). | |
| 99 | Gautschy, A., and Saio, H., “Stellar pulsations across the HR diagram: Part II”, Annu. Rev. Astron. Astrophys., 34, 551, (1996). | |
| 100 | Gleiser, R.J., Nicasio, C.O., Price, R.H., and Pullin, J., “Colliding black holes: How far can
the close approximation go?”, Phys. Rev. Lett., 77, 4483–4486, (1996). Related online version
(cited on 9 September 1996):
|
|
| 101 | Gleiser, R.J., Nicasio, C.O., Price, R.H., and Pullin, J., “Second order perturbations of a
Schwarzschild black hole”, Class. Quantum Grav., 13, L117–L124, (1996). Related online
version (cited on 24 October 1995):
|
|
| 102 | Gleiser, R.J., Nicasio, C.O., Price, R.H., and Pullin, J., “Evolving the Bowen-York initial data
for spinning black holes”, Phys. Rev. D, 57, 3401–3407, (1998). Related online version (cited
on 21 October 1997):
|
|
| 103 | Gleiser, R.J., Nicasio, C.O., Price, R.H., and Pullin, J., “The Collision of boosted black holes:
Second order close limit calculation”, Phys. Rev. D, 59, 044024, (1999). Related online version
(cited on 3 March 1998):
|
|
| 104 | Gleiser, R.J., Nicasio, C.O., Price, R.H., and Pullin, J., “Gravitational radiation from
Schwarzschild black holes: the second-order perturbation formalism”, Phys. Rep., 325, 41–81,
(2000). Related online version (cited on 29 July 1998):
|
|
| 105 | Guinn, J.W., Will, C.M., Kojima, Y., and Schutz, B.F., “High-overtone normal modes of Schwarzschild black holes”, Class. Quantum Grav., 7, L47–L53, (1990). | |
| 106 | Gundlach, C., Price, R.H., and Pullin, J., “Late-time behavior of stellar collapse and explosions. I. Linearized perturbations”, Phys. Rev. D, 49, 883–889, (1994). | |
| 107 | Gundlach, C., Price, R.H., and Pullin, J., “Late-time behavior of stellar collapse and explosions.
II. Nonlinear evolution”, Phys. Rev. D, 49, 890–899, (1994). Related online version (cited on
12 July 1993):
|
|
| 108 | Gunter, D.L., “A study of the coupled gravitational and electromagnetic perturbations to the Reissner–Nordström black hole: The scattering matrix, energy conversion, and quasi-normal modes”, Philos. Trans. R. Soc. London, Ser. A, 296, 497–526, (1980). | |
| 109 | Hartle, J.B., and Wilkins, D.C., “Analytic properties of the Teukolsky equation”, Commun. Math. Phys., 38, 47–63, (1974). | |
| 110 | Harvey, J.W., Hill, F., Hubbard, R.P., Kennedy, J.R., Leibacher, J.W., Pintar, J.A., Gilman, P.A., Noyes, R.W., Title, A.M., Toomre, J., Ulrich, R.K., Bhatnagar, A., Kennewell, J.A., Marquette, W., Patron, J., Saa, O., and Yasukawa, E., “The Global Oscillation Network Group (GONG) Project”, Science, 272, 1284–1286, (1996). | |
| 111 | Heisenberg, W., “Der mathematiche Rahmen der Quantentheorie der Wellenfelder”, Z. Naturforsch., 1, 608–622, (1946). | |
| 112 | Ipser, J.R., and Price, R.H., “Nonradial pulsations of stellar models in general relativity”, Phys. Rev. D, 43, 1768–1773, (1991). | |
| 113 | Iyer, S., “Black-hole normal modes: A WKB approach. II. Schwarzschild black holes”, Phys. Rev. D, 35, 3632–3636, (1987). | |
| 114 | Iyer, S., and Will, C.M., “Black-hole normal modes: A WKB approach. I Foundations and application of a higher WKB analysis of potential-barrier scattering”, Phys. Rev. D, 35, 3621–3631, (1987). | |
| 115 | Jensen, B.P., and Candelas, P., “Schwarzschild radial functions”, Phys. Rev. D, 33, 1590–1595, (1986). | |
| 116 | John, F., Partial Differential Equations, Applied Mathematical Sciences, vol. 1, (Springer, Berlin, Germany; New York, U.S.A., 1982), 4th edition. | |
| 117 | Kay, B.S., and Wald, R.M., “Linear stability of Schwarzschild under perturbations which are non-vanishing on the bifurcation 2-sphere”, Class. Quantum Grav., 4, 893–898, (1987). | |
| 118 | Kind, S., Ehlers, J., and Schmidt, B.G., “Relativistic stellar oscillations treated as an initial value problem”, Class. Quantum Grav., 10, 2137–2152, (1993). | |
| 119 | Kojima, Y., “Two families of normal modes in relativistic stars”, Prog. Theor. Phys., 79, 665–675, (1988). | |
| 120 | Kojima, Y., “Equations governing the nonradial oscillations of a slowly rotating relativistic star”, Phys. Rev. D, 46, 4289–4303, (1992). | |
| 121 | Kojima, Y., “Normal modes of relativistic stars in slow rotation limit”, Astrophys. J., 414, 247–253, (1993). | |
| 122 | Kojima, Y., Andersson, N., and Kokkotas, K.D., “On the oscillation spectra of ultracompact
stars”, Proc. R. Soc. London, Ser. A, 451, 341–348, (1995). Related online version (cited on 7
March 1995):
|
|
| 123 | Kokkotas, K.D., “Normal modes of the Kerr black hole”, Class. Quantum Grav., 8, 2217–2224, (1991). | |
| 124 | Kokkotas, K.D., “Normal modes of the Kerr-Newmann black hole”, Nuovo Cimento B, 108, 991–998, (1993). | |
| 125 | Kokkotas, K.D., “Axial modes for relativistic stars”, Mon. Not. R. Astron. Soc., 268, 1015–1018, (1994). | |
| 126 | Kokkotas, K.D., Apostolatos, T.A., and Andersson, N., “The inverse problem for pulsating
neutron stars: a ’fingerprint analysis’ for the supranuclear equation of state”, Mon. Not. R.
Astron. Soc., 320, 307–315, (2001). Related online version (cited on 25 January 1999):
|
|
| 127 | Kokkotas, K.D., and Schäfer, G., “Tidal and Tidal-resonant Effects in Close Binary Systems”,
Mon. Not. R. Astron. Soc., 275, 301–308, (1995). Related online version (cited on 17 February
1995):
|
|
| 128 | Kokkotas, K.D., and Schutz, B.F., “Normal modes of a model radiating system”, Gen. Relativ. Gravit., 18, 913–921, (1986). | |
| 129 | Kokkotas, K.D., and Schutz, B.F., “Black-hole normal modes: A WKB approach. III. The Reissner–Nordström black hole”, Phys. Rev. D, 37, 3378–3387, (1988). | |
| 130 | Kokkotas, K.D., and Schutz, B.F., “W-modes: a new family of normal modes for pulsating relativistic stars”, Mon. Not. R. Astron. Soc., 255, 119–128, (1992). | |
| 131 | Kokkotas, K.D., and Stergioulas, N., “Analytic description of the r-mode instability in uniform
density neutron stars”, Astron. Astrophys., 341, 110–116, (1999). Related online version (cited
on 22 May 1998):
|
|
| 132 | Krivan, W., Laguna, P., and Papadopoulos, P., “Dynamics of scalar fields in the background
of rotating black holes”, Phys. Rev. D, 54, 4728–4734, (1996). Related online version (cited on
4 June 1996):
|
|
| 133 | Krivan, W., Laguna, P., Papadopoulos, P., and Andersson, N., “Dynamics of perturbations of
rotating black holes”, Phys. Rev. D, 56, 3395–3404, (1997). Related online version (cited on 24
February 1997):
|
|
| 134 | Lai, D., “Secular Instability of g-Modes in Rotating Neutron Stars”, Mon. Not. R. Astron.
Soc., 307, 1001–1007, (1999). Related online version (cited on 29 June 1998):
|
|
| 135 | Leaver, E.W., “An analytic representation for the quasi-normal modes of Kerr black holes”, Proc. R. Soc. London, Ser. A, 402, 285–298, (1985). | |
| 136 | Leaver, E.W., “Spectral decomposition of the perturbation response of the Schwarzschild geometry”, Phys. Rev. D, 34, 384–408, (1986). | |
| 137 | Leaver, E.W., “Quasinormal modes of Reissner–Nordström black holes”, Phys. Rev. D, 41, 2986–2997, (1990). | |
| 138 | Leins, M., Nollert, H.-P., and Soffel, M.H., “Nonradial oscillations of neutron stars: A new branch of strongly damped normal modes”, Phys. Rev. D, 48, 3467–3472, (1993). | |
| 139 | Levin, Y., “Runaway heating by r-modes of neutron stars in low-mass X-Ray binaries”,
Astrophys. J., 517, 328–333, (1999). Related online version (cited on 29 October 1998):
|
|
| 140 | Lindblom, L., “Stellar Stability according to Newtonian Theory and General Relativity”, in Francaviglia, M., Longhi, G., Lusanna, L., and Sorace, E., eds., General Relativity and Gravitation, Proceedings of the 14th International Conference on General Relativity and Gravitation, Florence, Italy, 6–12 August 1995, (World Scientific, Singapore; River Edge, U.S.A., 1997). | |
| 141 | Lindblom, L., and Detweiler, S.L., “The quadrupole oscillations of neutron stars”, Astrophys. J. Suppl. Ser., 53, 73–92, (1983). | |
| 142 | Lindblom, L., Owen, B.J., and Morinsk, S.M., “Gravitational radiation instability in hot young
stars”, Phys. Rev. Lett., 80, 4843–4846, (1998). Related online version (cited on 13 March
1998):
|
|
| 143 | Liu, H., “Asymptotic behaviour of quasi-normal mode od Schwarzschild black holes”, Class. Quantum Grav., 12, 543–552, (1995). | |
| 144 | Liu, H., and Mashhoon, B., “On the spectrum of oscillations of a Schwarzschild black hole”, Class. Quantum Grav., 13, 233–251, (1996). | |
| 145 | Majumdar, B., and Panchapakesan, N., “Schwarzschild black-hole normal modes using the Hill determinant”, Phys. Rev. D, 40, 2568–2571, (1989). | |
| 146 | McDermott, P.N., Van Horn, H.M., and Hansen, C.J., “Nonradial Oscillations of Neutron
Stars”, Astrophys. J., 325, 725–748, (1988).
ADS: |
|
| 147 | McDermott, P.N., Van Horn, H.M., and Scholl, J.F., “Nonradial g-mode oscillations of warm neutron stars”, Astrophys. J., 268, 837–848, (1983). | |
| 148 | Meixner, J., and Schäfke, F.W., Mathieusche Functionen und Sphäroidfunctionen, (Springer, Berlin, 1954). | |
| 149 | Melrose, R.B., Geometrical Scattering Theory, (Cambridge University Press, Cambridge, U.K.; New York, U.S.A., 1995). | |
| 150 | Misner, C.W., Thorne, K.S., and Wheeler, J.A., Gravitation, (W.H. Freeman, San Francisco, U.S.A., 1973). | |
| 151 | Mönchmeyer, R., Schäfer, G., Müller, E., and Kates, R.E., “Gravitational waves from the collapse of rotating stellar cores”, Astron. Astrophys., 246, 417–440, (1991). | |
| 152 | Moncrief, V., “Gravitational perturbations of spherically symmetric systems. I The exterior problem”, Ann. Phys. (N.Y.), 88, 323–342, (1974). | |
| 153 | Moncrief, V., “Odd-parity stability of a Reissner–Nordström black holes”, Phys. Rev. D, 9, 2707–2709, (1974). | |
| 154 | Moncrief, V., “Stability of a Reissner–Nordström black hole”, Phys. Rev. D, 10, 1057–1059, (1974). | |
| 155 | Nakamura, T., and Oohara, K., “Gravitational radiation from coalescing binary neutron stars. IV. Tidal disruption”, Prog. Theor. Phys., 86, 73–88, (1991). | |
| 156 | Nollert, H.-P., Astrophysik in der Schwarzschildmetrik am Beispiel von Quasi-Normalmoden schwarzer Löcher und Lichtablenkung bei Röntgenpulsaren, Ph.D. Thesis, (University of Tübingen, Tübingen, Germany, 1990). | |
| 157 | Nollert, H.-P., “Quasinormal modes of Schwarzschild black holes: The determination of quasinormal frequencies with very large imaginary parts”, Phys. Rev. D, 47, 5253–5258, (1993). | |
| 158 | Nollert, H.-P., and Price, R.H., “Quantifying excitations of quasinormal mode systems”, J.
Math. Phys., 40, 980–1010, (1999). Related online version (cited on 22 October 1998):
|
|
| 159 | Nollert, H.-P., and Schmidt, B.G., “Quasinormal modes of Schwarzschild black holes: Defined and calculated via Laplace transformation”, Phys. Rev. D, 45, 2617–2627, (1992). | |
| 160 | Onozawa, H., “Detailed study of quasinormal frequencies of the Kerr black hole”, Phys. Rev.
D, 55, 3593–3602, (1997). Related online version (cited on 22 October 1996):
|
|
| 161 | Owen, B.J., Lindblom, L., Cutler, C., Schutz, B.F., Vecchio, A., and Andersson, N.,
“Gravitational waves from hot young rapidly rotating neutron stars”, Phys. Rev. D, 58, 084020,
1–15, (1998). Related online version (cited on 20 April 1998):
|
|
| 162 | Persides, S., “On the radial wave equation in Schwarzschild space-time”, J. Math. Phys., 14, 1017–1021, (1973). | |
| 163 | Pijpers, F.P., “Helioseismic determination of the solar gravitational quadrupole moment”, Mon. Not. R. Astron. Soc., 297, L76–L80, (1998). | |
| 164 | Press, W.H., “Long wave trains of gravitational waves from a vibrating black hole”, Astrophys. J. Lett., 170, L105–L108, (1971). | |
| 165 | Press, W.H., and Teukolsky, S.A., “Perturbations of a Rotating Black Hole. II. Dynamical Stability of the Kerr Metric”, Astrophys. J., 185, 649–673, (1973). | |
| 166 | Price, R.H., “Nonspherical perturbations of relativistic gravitational collapse. I. Scalar and gravitational perturbations”, Phys. Rev. D, 5(10), 2419–2438, (1972). | |
| 167 | Price, R.H., “Nonspherical perturbations of relativistic gravitational collapse. II. Integer-spin, zero-rest-mass fields”, Phys. Rev. D, 5, 2439–2454, (1972). | |
| 168 | Price, R.H., and Husain, V., “Model for the completeness of quasinormal modes of relativistic stellar oscillations”, Phys. Rev. Lett., 68, 1973–1976, (1992). | |
| 169 | Price, R.H., and Ipser, J.R., “Relation of gauge formalisms for pulsations of general-relativistic stellar models”, Phys. Rev. D, 44, 307–313, (1991). | |
| 170 | Price, R.H., and Pullin, J., “Colliding black holes: The close limit”, Phys. Rev. Lett., 72,
3297–3300, (1994). Related online version (cited on 22 February 1994):
|
|
| 171 | Price, R.H., and Thorne, K.S., “Non-Radial Pulsation of General-Relativistic Stellar Models. II. Properties of the Gravitational Waves”, Astrophys. J., 155, 163–182, (1969). | |
| 172 | Pullin, J., “Colliding black holes: Analytic insights”, in Dadhich, N., and Narlikar, J.V.,
eds., Gravitation and Relativity: At the Turn of the Millennium, Proceedings of the 15th
International Conference on General Relativity and Gravitation (GR-15), held at IUCAA,
Pune, India, December 16–21, 1997, pp. 87–106, (IUCCA, Pune, India, 1998). Related online
version (cited on 2 March 1998):
|
|
| 173 | Regge, T., and Wheeler, J.A., “Stability of a Schwarzschild singularity”, Phys. Rev., 108, 1063–1069, (1957). | |
| 174 | Rendall, A.D., and Schmidt, B.G., “Existence and properties of spherically symmetric static fluid bodies with given equation of state”, Class. Quantum Grav., 8, 985–1000, (1991). | |
| 175 | Ruffert, M., Janka, H.-T., and Schäfer, G., “Coalescing neutron stars – a step towards physical models I. Hydrodynamical evolution and gravitational-wave emission”, Astron. Astrophys., 311, 532–566, (1995). | |
| 176 | Schutz, B.F., personal communication. | |
| 177 | Schutz, B.F., “Relativistic gravitational instabilities”, in Carter, B., and Hartle, J.B., eds., Gravitation in Astrophysics: Cargèse 1986, Proceedings of a NATO Advanced Study Institute on Gravitation in Astrophysics, held July 15–31, 1986 in Cargése, France, NATO ASI Series B, vol. 156, pp. 123–154, (Plenum Press, New York, U.S.A., 1987). | |
| 178 | Schutz, B.F., “Gravitational wave sources”, Class. Quantum Grav., 13, A219–A238, (1996). | |
| 179 | Schutz, B.F., “The detection of gravitational waves”, in Marck, J.A., and Lasota, J.P., eds., Relativistic Gravitation and Gravitational Radiation, Proceedings of the Les Houches School of Physics, held in Les Houches, Haute Savoie, 26 September - 6 October, 1995, (Cambridge University Press, Cambridge, U.K., 1997). | |
| 180 | Schutz, B.F., and Will, C.M., “Black hole normal modes: a semianalytic approach”, Astrophys. J. Lett., 291, L33–L36, (1985). | |
| 181 | Seidel, E., “A comment on the eigenvalues of spin-weighted spheroidal functions”, Class. Quantum Grav., 6, 1057–1062, (1989). | |
| 182 | Seidel, E., “Gravitational radiation from even-parity perturbations of stellar collapse: Mathematical formalism and numerical methods”, Phys. Rev. D, 42, 1884–1907, (1990). | |
| 183 | Seidel, E., “Normal-mode excitation from stellar collapse to a black hole: Odd-parity perturbations”, Phys. Rev. D, 44, 950–965, (1991). | |
| 184 | Seidel, E., “The Synergy between Numerical and Perturbative Approaches to Black Holes”,
in Bhawal, B., and Iyer, B.R., eds., Black Holes, Gravitational Radiation and the Universe:
Essays in Honour of C.V. Vishveshwara, Fundamental Theories of Physics, vol. 100, (Kluwer,
Dordrecht, Netherlands; Boston, U.S.A., 1999). Related online version (cited on 23 June 1998):
|
|
| 185 | Seidel, E., and Iyer, S., “Black hole normal modes: A WKB approach. IV Kerr black holes”, Phys. Rev. D, 41, 374–382, (1990). | |
| 186 | Seidel, E., and Moore, T., “Gravitational radiation from realistic relativistic stars: Odd-parity fluid perturbations”, Phys. Rev. D, 35, 2287–2296, (1987). | |
| 187 | Seidel, E., Myra, E.S., and Moore, T., “Gravitational radiation from type-II supernovae: The effect of the high-density equation of state”, Phys. Rev. D, 38, 2349–2356, (1988). | |
| 188 | Shapiro, S.L., and Teukolsky, S.A., Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects, (Wiley, New York, U.S.A., 1983). | |
| 189 | Simon, B., “Resonances and complex scaling - rigorous overview”, Int. J. Quantum Chem., XIV, 529, (1978). | |
| 190 | Skibsted, K., “Truncated Gamow functions, alpha-decay and the exponential law”, Commun. Math. Phys., 104(4), 591–604, (1986). | |
| 191 | Stark, R.F., and Piran, T., “Gravitational-Wave Emission from Rotating Gravitational Collapse”, Phys. Rev. Lett., 55, 891–894, (1985). | |
| 192 | Stergioulas, N., “Rotating Stars in Relativity”, Living Rev. Relativity, 1, lrr-1998-8, (1998).
URL (cited on 20 August 1999):
http://www.livingreviews.org/lrr-1998-8. |
|
| 193 | Stewart, J.M., “On the stability of Kerr’s space-time”, Proc. R. Soc. London, Ser. A, 344, 65–79, (1975). | |
| 194 | Sun, Y., and Price, R.H., “Excitation of quasinormal ringing of a Schwarzschild black hole”, Phys. Rev. D, 38, 1040–1052, (1988). | |
| 195 | Sun, Y., and Price, R.H., “Excitation of Schwarzschild quasinormal modes by collapse”, Phys. Rev. D, 41, 2492, (1990). | |
| 196 | Teukolsky, S.A., “Rotating black holes: Separable wave equations for gravitational and electromagnetic perturbations”, Phys. Rev. Lett., 29, 1114–1118, (1972). | |
| 197 | Teukolsky, S.A., “Perturbations of a rotating black hole. I. Fundamental equations for gravitational, electromagnetic, and neutrino-field perturbations”, Astrophys. J., 185, 635–648, (1973). | |
| 198 | Thorne, K.S., “Gravitational radiation damping”, Phys. Rev. Lett., 21, 320–323, (1968). | |
| 199 | Thorne, K.S., “Nonradial pulsation of general-relativistic stellar models. III. Analytic and numerical results for neutron star”, Astrophys. J., 158, 1–16, (1969). | |
| 200 | Thorne, K.S., “Nonradial Pulsation of General-Relativistic Stellar Models. IV. The Weak-Field Limit”, Astrophys. J., 158, 997–1019, (1969). | |
| 201 | Thorne, K.S., “Probing Black Holes and Relativistic Stars with Gravitational Waves”, in Wald, R.M., ed., Black Holes and Relativistic Stars, (University of Chicago Press, Chicago, U.S.A., 1998). | |
| 202 | Thorne, K.S., and Campolattaro, A., “Non-radial pulsation of general-relativistic stellar models. I. Analytic analysis for ℓ ≥ 2”, Astrophys. J., 149, 591–611, (1967). | |
| 203 | Tominaga, K., Saijo, M., and Maeda, K., “Gravitational waves from a test particle scattered
by a neutron star: axial mode case”, Phys. Rev. D, 60, 024004, (1999). Related online version
(cited on 14 January 1999):
|
|
| 204 | Unno, W., Osaki, Y., Ando, H., Saio, H., and Shibahashi, H., Nonradial Oscillations of Stars, (University of Tokyo Press, Tokyo, Japan, 1989), 2nd edition. | |
| 205 | van den Bergh, S., and Tammann, G.A., “Galactic and Extragalactic Supernova Rates”, Annu. Rev. Astron. Astrophys., 29, 363–407, (1991). | |
| 206 | Van Horn, H.M., “Micropulses, drifting subpulses, and nonradial oscillations of neutron stars”, Astrophys. J., 236, 899–903, (1980). | |
| 207 | Vishveshwara, C.V., “Scattering of gravitational radiation by a Schwarzschild black-hole”, Nature, 227, 936–938, (1970). | |
| 208 | Whiting, B.F., “Mode stability of the Kerr black hole”, J. Math. Phys., 30, 1301–1305, (1989). | |
| 209 | Xanthopoulos, B.C., “Metric and electromagnetic perturbations of the Reissner–Nordström black hole”, Proc. R. Soc. London, Ser. A, 378, 73–88, (1981). | |
| 210 | Yamada, S., and Sato, K., “Gravitational radiation from rotational collapse of a supernova core”, Astrophys. J., 450, 245–252, (1995). | |
| 211 | Yoshida, S., Eriguchi, Y., and Futamase, T., “Quasinormal modes of boson stars”, Phys. Rev. D, 50, 6235–6246, (1994). | |
| 212 | Zerilli, F.J., “Gravitational field of a particle falling in a Schwarzschild geometry analyzed in tensor harmonics”, Phys. Rev. D, 2(10), 2141– 2160, (1970). | |
| 213 | Zerilli, F.J., “Perturbation analysis for gravitational and electromagnetic radiation in a Reissner–Nordström geometry”, Phys. Rev. D, 9, 860, (1974). | |
| 214 | Zouros, T.J.M., and Eardley, D.M., “Instabilities of massive scalar perturbations of a rotating black hole”, Ann. Phys. (N.Y.), 118, 139–155, (1979). | |
| 215 | Zwerger, T., and Müller, E., “Dynamics and gravitational wave signature of axisymmetric rotational core collapse”, Astron. Astrophys., 320, 209–227, (1997). |
| http://www.livingreviews.org/lrr-1999-2 |
© Max Planck Society and the author(s)
Problems/comments to |