Parametric solutions to the Kerr separatrix
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912278277783552 |
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| author | Ng, Tammy Teo, Edward |
| author_facet | Ng, Tammy Teo, Edward |
| contents | The Kerr separatrix is a boundary in parameter space that separates bound orbits from plunging orbits in the Kerr black hole space-time. Recently, Stein and Warburton found a polynomial equation for the location of the separatrix, for two different choices of inclination parameter. Following a method of Levin and Perez-Giz developed for the equatorial case, we use a correspondence between homoclinic orbits and unstable spherical orbits to derive explicit solutions to the separatrix polynomials. These solutions are parametrised in terms of the radius of the unstable spherical orbit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18141 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Parametric solutions to the Kerr separatrix Ng, Tammy Teo, Edward General Relativity and Quantum Cosmology The Kerr separatrix is a boundary in parameter space that separates bound orbits from plunging orbits in the Kerr black hole space-time. Recently, Stein and Warburton found a polynomial equation for the location of the separatrix, for two different choices of inclination parameter. Following a method of Levin and Perez-Giz developed for the equatorial case, we use a correspondence between homoclinic orbits and unstable spherical orbits to derive explicit solutions to the separatrix polynomials. These solutions are parametrised in terms of the radius of the unstable spherical orbit. |
| title | Parametric solutions to the Kerr separatrix |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2502.18141 |