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arXiv · 2411.09700

Post-Newtonian expansion of gravitational energy and angular momentum fluxes: inclined spherical orbits about a Kerr black hole

Jezreel C. Castillo·Charles R. Evans·Chris Kavanagh·Jakob Neef·Adrian Ottewill·Barry Wardell
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Abstract

We present analytical expressions for the fluxes of energy and angular momentum from a point mass on an inclined spherical orbit about a Kerr black hole. The expressions are obtained using the method of Mano, Suzuki and Takasugi to construct analytical solutions of the Teukolsky equation, and are given as post-Newtonian expansions valid through 12PN, with arbitrary values for the inclination parameter $x$ and black hole spin $a$. We characterize the structure of the PN expansions in terms of their dependence on $x$ and $a$, and we validate our results against numerical calculations.

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Jezreel C. Castillo, Charles R. Evans, Chris Kavanagh, Jakob Neef, Adrian Ottewill, Barry Wardell. 2024-11-14. Post-Newtonian expansion of gravitational energy and angular momentum fluxes: inclined spherical orbits about a Kerr black hole. https://doi.org/10.1103/physrevd.111.084004

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