Post-Newtonian expansion of gravitational energy and angular momentum fluxes: inclined spherical orbits about a Kerr black hole
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909565992304640 |
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| author | Castillo, Jezreel C. Evans, Charles R. Kavanagh, Chris Neef, Jakob Ottewill, Adrian Wardell, Barry |
| author_facet | Castillo, Jezreel C. Evans, Charles R. Kavanagh, Chris Neef, Jakob Ottewill, Adrian Wardell, Barry |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09700 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Post-Newtonian expansion of gravitational energy and angular momentum fluxes: inclined spherical orbits about a Kerr black hole Castillo, Jezreel C. Evans, Charles R. Kavanagh, Chris Neef, Jakob Ottewill, Adrian Wardell, Barry General Relativity and Quantum Cosmology 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. |
| title | Post-Newtonian expansion of gravitational energy and angular momentum fluxes: inclined spherical orbits about a Kerr black hole |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2411.09700 |