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Prog. Theor. Phys. Vol. 93 No. 2 (1995) pp. 307-333

[ Full Text PDF : FREE ACCESS (972K) ]

Post-Newtonian Expansion of Gravitational Waves from a Particle in Slightly Eccentric Orbit around a Rotating Black Hole

Hideyuki Tagoshi

Department of Physics, Kyoto University, Kyoto 606-01

(Received November 18, 1994)

Abstract:

Using the Teukolsky and Sasaki-Nakamura equations, we calculate the post-Newtonian expansion of the energy and angular momentum luminosities of gravitational waves from a test particle with slightly eccentric orbit around a rotating black hole up to O(v5) beyond the quadrupole formula. We find that circular orbit is stable up through the order O(v5) even if the spin of a black hole exists. Using the results, we argue the total phase of gravitational waves from coalescing compact binaries. We find that the eccentricity is important at O(v5) order if the initial eccentricity in the LIGO's band is greater than 0.4. There are possibilities that binaries which have a non-negligible eccentricity will be observed by laser interferometers and our results will be useful to analyze gravitational waves from such binaries.


URL : http://ptp.ipap.jp/link?PTP/93/307/
DOI : 10.1143/PTP.93.307

[ Full Text PDF : FREE ACCESS (972K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics 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
  2. Progress of Theoretical Physics Vol. 115 No. 5 (2006) pp. 873-907 :
    Adiabatic Evolution of Orbital Parameters in Kerr Spacetime
    Norichika Sago, Takahiro Tanaka, Wataru Hikida, Katsuhiko Ganz and Hiroyuki Nakano
  3. Progress of Theoretical Physics Vol. 117 No. 6 (2007) pp. 1041-1066 :
    Adiabatic Evolution of Three `Constants' of Motion for Greatly Inclined Orbits in Kerr Spacetime
    Katsuhiko Ganz, Wataru Hikida, Hiroyuki Nakano, Norichika Sago and Takahiro Tanaka
  4. 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

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