ArticleOriginal scientific text
Title
Post-Newtonian approximation in the test particle limit
Authors 1
Affiliations
- Department of Earth and Space Science, Osaka University, Toyonaka, Osaka 560, Japan
Abstract
Gravitational radiation from a small mass particle orbiting a massive black hole can be analytically studied to a very high order in the post-Newtonian expansion. Thus it gives us useful information on the evolution of a coalescing compact binary star. In this talk, I report on recent progress made in the black-hole perturbation approach.
Bibliography
- S. Chandrasekhar, The Mathematical Theory of Black Holes (Clarendon, Oxford, 1983).
- A. Abramovici et al., Science, 256, 325 (1992).
- K. S. Thorne, in Proceedings of the Eighth Nishinomiya-Yukawa Memorial Symposium: Relativistic Cosmology, ed. M. Sasaki (Universal Academy Press, Tokyo, 1994), p. 67, and references therein.
- C. Bradaschia et al., Nucl. Instrum. & Methods, A289, 518 (1990).
- C. Cutler et al. Phys. Rev. Lett. 70, 2984 (1993).
- C. M. Will, in Proceedings of the Eighth Nishinomiya-Yukawa Memorial Symposium: Relativistic Cosmology, ed. M. Sasaki (Universal Academy Press, Tokyo, 1994), p. 83, and references therein.
- L. Blanchet, T. Damour, B. R. Iyer, C. M. Will and A. G. Wiseman, Phys. Rev. Lett. 74, 3515(1995).
- L. Blanchet, Phys. Rev. D 54, 1417 (1996).
- C. Cutler, L. S. Finn, E. Poisson and G. J. Sussman, Phys. Rev. D 47, 1511 (1993).
- H. Tagoshi and T. Nakamura, Phys. Rev. D 49, 4016 (1994).
- E. Poisson, Phys. Rev. D47, 1497 (1993).
- M. Sasaki, Prog. Theor. Phys. 92, 17 (1994).
- H. Tagoshi and M. Sasaki, Prog. Theor. Phys. 92, 745 (1994).
- M. Shibata, M. Sasaki, H. Tagoshi and T. Tanaka, Phys. Rev. D 51, 1646 (1994).
- H. Tagoshi, Prog. Theor. Phys. 93, 307 (1995).
- H. Tagoshi, M. Shibata, T. Tanaka, and M. Sasaki, Phys. Rev. D 54 1439, (1996).
- T. Tanaka, Y. Mino, M. Sasaki and M. Shibata, Phys. Rev. D 54 3762, (1996).
- S. A. Teukolsky, Astrophys. J. 185 (1973) 635.
- T. Regge and J. A. Wheeler, Phys. Rev. 108, 1063 (1957).
- S. Chandrasekhar, Proc. R. Soc. London A343, 289 (1975).
- M. Sasaki and T. Nakamura, Phys. Lett. 87A, 85 (1981).
- M. Sasaki and T. Nakamura, Prog. Theor. Phys. 67, 1788 (1982); M. Sasaki and T. Nakamura, Phys. Lett. 89A, 68 (1982).
- S. Mano, H. Suzuki and E. Takasugi, Prog. Theor. Phys. 95 1079, (1996).
- F. D. Ryan, L. S. Finn and K. S. Thorne, Testing the Black-Hole No-Hair Theorem by Gravitational-Wave Measurements, Phys. Rev. Lett. in preparation (1996); F. Ryan, Gravitational waves from the inspiral of a compact object into a massive, axisymmetric body with arbitrary multipole moments, Caltech preprint (1995).
- P. L. Chrzanowski, Phys. Rev. D 11, 2042 (1975).
- D. Gal'tsov, J. Phys. A15, 3737 (1982).
- A. Ori, Phys. Lett. A202, 347 (1995); Radiative evolution of the Carter constant for generic orbits around a Kerr black hole, preprint (1995).
- Y. Mino, M. Sasaki and T. Tanaka, Graviational radiation reaction to a particle motion, Osaka University preprint OU-TAP 38, gr-qc/9606018 (1996).