Quick Search:
Prog. Theor. Phys. Vol. 96 No. 4 (1996) pp. 713-728
Post-Newtonian Expansion of Gravitational Waves from a Compact Star Orbiting a Rotating Black Hole in Brans-Dicke Theory – Circular Orbit Case –
Akira Ohashi,
Hideyuki Tagoshi* and
Misao Sasaki**
Department of Physics, Kyoto University, Kyoto 606-01
*National Astronomical Observatory, Mitaka 181
**Department of Earth and Space Science, Osaka University, Toyonaka 560
(Received July 18, 1996)
Abstract:
In the context of Brans-Dicke theory, we calculate the post-Newtonian expansion of the scalar part of gravitational radiation from a compact star in a circular orbit around a rotating black hole up to O(v5) beyond the leading, Newtonian-dipole formula. The calculation is based on a method developed recently by Sasaki in the Schwarzschild case in the context of general relativity. The orbit of a compact star is restricted on the equatorial plane. Then we estimate the post-Newtonian effect of scalar radiation to the orbital evolution of coalescing compact binaries. We find that the post-Newtonian effect of scalar radiation is small in the LIGO band if we take into account the experimental bound of the Brans-Dicke parameter ωBD > 500. On the other hand, we find that the post-Newtonian effect of the scalar radiation is not negligible for the LISA experiment.
URL :
http://ptp.ipap.jp/link?PTP/96/713/
DOI : 10.1143/PTP.96.713
References:
- A. Abramovici et al., Science 256 (1992), 325[Science].
- C. Bradaschia et al., Nucl. Instrum. Methods A289 (1990), 518.
-
E. S. Phinney, Astrophys. J. 380 (1991), L17[CrossRef].
-
D. Marković, Phys. Rev. D48 (1993), 4738[APS].
-
C. Cutler et al., Phys. Rev. Lett. 70 (1993), 2984[APS].
- F. D. Ryan, L. S. Finn and K. S. Thorne, Testing the Black-Hole No-Hair Theorem by Gravitational-Wave Measurements, in preparation.
-
C. M. Will, Phys. Rev. D50 (1994), 6058[APS].
-
C. Brans and R. H. Dicke, Phys. Rev. 124 (1961), 925[APS].
-
D. M. Eardley, Astrophys. J. Lett. 196 (1975), L59[CrossRef].
- C. M. Will, in Proceedings of the 8th Nishinomiya-Yukawa Memorial Symposium: Relativistic Cosmology, ed. M. Sasaki (Universal Academy Press, Tokyo, 1994), p. 83, and references therein.
- L. Blanchet and T. Damour, Philos. Trans. R. Soc. London A320 (1986), 379;
Phys. Rev. D37 (1988), 1410[APS]; Ann. Inst. Henri Poincaré 50 (1989), 377;
Phys. Rev. D46 (1992), 4304[APS].
- T. Damour and B. R. Iyer, Ann. Inst. Henri Poincaré 54 (1991), 115.
-
L. E. Kidder, C. M. Will and A. G. Wiseman, Phys. Rev. D47 (1993), R4183[APS].
-
A. G. Wiseman, Phys. Rev. D48 (1993), 4757[APS].
-
L. E. Kidder, Phys. Rev. D52 (1995), 821[APS].
-
L. Blanchet and G. Schäfer, Class. Quantum Grav. 10 (1993), 2699[CrossRef].
-
L. Blanchet, T. Damour, B. R. Iyer, C. M. Will and A. G. Wiseman, Phys. Rev. Lett. 74 (1995), L3515[APS].
-
L. Blanchet, Phys. Rev. D51 (1995), 2559[APS].
-
L. Blanchet, T. Damour and B. R. Iyer, Phys. Rev. D51 (1995), 5360[APS].
-
L. Blanchet, Phys. Rev. D54 (1996), 1417[APS].
-
L. Blanchet, B. R. Iyer, C. M. Will and A. G. Wiseman, Class. Quantum Grav. 13 (1996), 575[CrossRef].
-
C. M. Will and A. G. Wiseman, gr-qc/9608012[e-print arXiv].
-
R. Epstein and R. V. Wagoner, Astrophys. J. 197 (1975), 717[CrossRef].
-
R. V. Wagoner and C. M. Will, Astrophys. J. 210 (1976), 764[CrossRef].
-
C. M. Will and H. W. Zaglauer, Astrophys. J. 346 (1989), 366[CrossRef].
- C. M. Will, Theory and Experiment in Gravitational Physics, revised edition (Cambridge University Press, 1993).
-
E. Poisson, Phys. Rev. D47 (1993), 1497[APS].
-
C. Cutler, L. S. Finn, E. Poisson and G. J. Sussman, Phys. Rev. D47 (1993), 1511[APS].
-
H. Tagoshi and T. Nakamura, Phys. Rev. D49 (1994), 4016[APS].
- H. Tagoshi and M. Sasaki, Prog. Theor. Phys. 92 (1994), 745[PTP].
- M. Sasaki, Prog. Theor. Phys. 92 (1994), 17[PTP].
-
M. Shibata, M. Sasaki, H. Tagoshi and T. Tanaka, Phys. Rev. D51 (1995), 1646[APS].
-
H. Tagoshi, M. Shibata, T. Tanaka and M. Sasaki, Phys. Rev. D54 (1996), 1439[APS].
- H. Tagoshi, Prog. Theor. Phys. 93 (1995), 307[PTP].
-
E. Poisson and M. Sasaki, Phys. Rev. D51 (1995), 5753[APS].
-
T. Tanaka, Y. Mino, M. Sasaki and M. Shibata, Phys. Rev. D53 (1996), 622[APS].
- S. Mano, H. Suzuki and E. Takasugi, Prog. Theor. Phys. 95 (1996), 1079[PTP].
- See K. S. Thorne, in Proceedings of Snowmass 94 Summer Study on Particle and Nuclear Astrophysics and Cosmology, ed. E. W. Kolb and R. Peccei (World Scientific, Singapore, 1995).
-
T. Damour and G. Esposito-Farése, Class. Quantum Grav. 9 (1992), 2093, [CrossRef]Appendix A.
-
S. A. Teukolsky, Astrophys. J. 185 (1973), 635[CrossRef].
Citing Article(s) :
-
Progress of Theoretical Physics Supplement No.128 (1997) pp. 1-121
:
-
Chapter 1. Black Hole Perturbation
-
Yasushi Mino, Misao Sasaki, Masaru Shibata, Hideyuki Tagoshi and Takahiro Tanaka