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Prog. Theor. Phys. Vol. 92 No. 4 (1994) pp. 745-771

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Post-Newtonian Expansion of Gravitational Waves from a Particle in Circular Orbit around a Schwarzschild Black Hole

Hideyuki Tagoshi and Misao Sasaki

Department of Physics, Kyoto University, Kyoto 606-01

(Received May 19, 1994)

Abstract:

Based upon the formalism recently developed by one of us (MS), we analytically perform the post-Newtonian expansion of gravitational waves from a test particle in circular orbit of radius r0 around a Schwarzschild black hole of mass M. We calculate gravitational wave forms and luminosity up to v8 order beyond Newtonian, where v = (M/r0)1/2. In particular, we give the exact analytical values of the coefficients of ln v terms at v6 and v8 orders in the luminosity and confirm the numerical values obtained previously by one of us (HT) and Nakamura. Our result is valid in the small mass limit of one body and gives an important guideline for the gravitational wave physics of coalescing compact binaries.


URL : http://ptp.ipap.jp/link?PTP/92/745/
DOI : 10.1143/PTP.92.745

[ Full Text PDF : FREE ACCESS (2038K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 93 No. 2 (1995) pp. 307-333 :
    Post-Newtonian Expansion of Gravitational Waves from a Particle in Slightly Eccentric Orbit around a Rotating Black Hole
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  2. Progress of Theoretical Physics Vol. 95 No. 6 (1996) pp. 1079-1096 :
    Analytic Solutions of the Teukolsky Equation and Their Low Frequency Expansions
    Shuhei Mano, Hisao Suzuki and Eiichi Takasugi
  3. Progress of Theoretical Physics Vol. 96 No. 1 (1996) pp. 81-112 :
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  4. Progress of Theoretical Physics Vol. 96 No. 4 (1996) pp. 713-728 :
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  5. Progress of Theoretical Physics Vol. 96 No. 5 (1996) pp. 901-915 :
    Evolution of Close Neutron Star Binaries
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  6. Progress of Theoretical Physics Vol. 96 No. 6 (1996) pp. 1087-1101 :
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  7. Progress of Theoretical Physics Vol. 97 No. 2 (1997) pp. 213-232 :
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  8. Progress of Theoretical Physics Vol. 98 No. 4 (1997) pp. 829-850 :
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  9. Progress of Theoretical Physics Vol. 128 No. 5 (2012) pp. 971-992 :
    Gravitational Waves from a Particle in Circular Orbits around a Schwarzschild Black Hole to the 22nd Post-Newtonian Order
    Ryuichi Fujita
  10. Progress of Theoretical Physics Supplement No.128 (1997) pp. 1-121 :
    Chapter 1. Black Hole Perturbation
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  11. Progress of Theoretical Physics Supplement No.136 (1999) pp. 146-157 :
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  12. Progress of Theoretical Physics Supplement No.136 (1999) pp. 158-167 :
    Generation of Post-Newtonian Gravitational Radiation via Direct Integration of the Relaxed Einstein Equations
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