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Prog. Theor. Phys. Vol. 96 No. 4 (1996) pp. 713-728

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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

[ Full Text PDF : FREE ACCESS (736K) ] Citation:


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Citing Article(s) :

  1. 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