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

概要

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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 γ_0 around a Schwarzschild black hole of mass M. We calculate gravitational wave forms and luminosity up to v^8 order beyond Newtonian, where v =(M/γ_0)^<1/2>. In particular, we give the exact analytical values of the coefficients of ln v terms at v^6 and v^8 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.
理論物理学刊行会の論文
1994-10-25