Post-Newtonian expansion of gravitational energy and angular momentum fluxes: Inclined spherical orbits about a Kerr black hole
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 12 post-Newtonian (PN) orders, 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.
Authors
- Jakob Neef (ORCID: https://orcid.org/0000-0002-3215-5694)
- Charles R. Evans (ORCID: https://orcid.org/0000-0001-5578-1033)
- Adrian C. Ottewill (ORCID: https://orcid.org/0000-0003-3293-8450)
- Barry Wardell (ORCID: https://orcid.org/0000-0001-6176-9006)
- Jezreel C. Castillo (ORCID: https://orcid.org/0000-0001-6617-0326)
- Chris Kavanagh (ORCID: https://orcid.org/0000-0002-2874-9780)
Institutions
- University College Dublin (IE)
- University of North Carolina at Chapel Hill (US)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2025-04-03
- DOI
- https://doi.org/10.1103/physrevd.111.084004
- Citations
- 3
- Primary Topic
- Pulsars and Gravitational Waves Research
- Type
- article
- Field-Weighted Citation Impact
- 3.46
Funders
- National Science Foundation
- Science Foundation Ireland
- University of North Carolina at Chapel Hill