Post-Newtonian expansion of gravitational energy and angular momentum fluxes: inclined spherical orbits about a Kerr black hole
arXiv:2411.09700 · doi:10.1103/PhysRevD.111.084004
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 and black hole spin . We characterize the structure of the PN expansions in terms of their dependence on and , and we validate our results against numerical calculations.
arXiv comment15 pages, 4 figures, accepted for publication in PRD, updated to include revisions/corrections during the review process
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