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Gravitational waves from a spinning particle in circular orbits around a rotating black hole

Takahiro Tanaka·Yasushi Mino·Misao Sasaki·Masaru Shibata
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Abstract

Using the Teukolsky and Sasaki-Nakamura formalisms for the perterbations around a Kerr black hole, we calculate the energy flux of gravitational waves induced by a {\it spinning} particle of mass $μ$ and spin $S$ moving in circular orbits near the equatorial plain of a rotating black hole of mass $M (\gg μ)$ and spin $Ma$. The calculations are performed by using the recently developed post-Newtonian expansion technique of the Teukolsky equation. To evaluate the source terms of perturbations caused by a {\it spinning} particle, we used the equations of motion of a spinning particle derived by Papapetrou and the energy momentum tensor of a spinning particle derived by Dixon. We present the post-Newtonian formula of the gravitational wave luminosity up to the order $(v/c)^5$ beyond the quadrupole formula including the linear order of particle spin. The results obtained in this paper will be an important guideline to the post-Newtonian calculation of the inspiral of two spinning compact objects.

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Takahiro Tanaka, Yasushi Mino, Misao Sasaki, Masaru Shibata. 1996-02-19. Gravitational waves from a spinning particle in circular orbits around a rotating black hole. https://doi.org/10.1103/physrevd.54.3762

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