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

Autor: Castillo, Jezreel C., Evans, Charles R., Kavanagh, Chris, Neef, Jakob, Ottewill, Adrian, Wardell, Barry
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv