Lower bound on the orbital period of Kerr-Newman black holes
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912297316777984 |
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| author | Peng, Yan |
| author_facet | Peng, Yan |
| contents | Based on the orbital period of Kerr black holes, Hod proposed a conjecture that a general lower bound on the orbital period may exist. In this work, we examined this bound by exploring the orbital period of Kerr-Newman black holes using analytical and numerical methods. By choosing different charge and spin of Kerr-Newman black holes, we found a lower bound for the orbital period of Kerr-Newman black holes as $T(r)\geqslant 4πM$, where $r$ is the orbital radius, $T(r)$ is the orbital period observed from infinity and $M$ is the black hole mass. This bound is just the same as Hod's conjectured lower bound. So our results further demonstrated that Hod's lower bound may be a general property in black hole spacetimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_21218 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lower bound on the orbital period of Kerr-Newman black holes Peng, Yan General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory Based on the orbital period of Kerr black holes, Hod proposed a conjecture that a general lower bound on the orbital period may exist. In this work, we examined this bound by exploring the orbital period of Kerr-Newman black holes using analytical and numerical methods. By choosing different charge and spin of Kerr-Newman black holes, we found a lower bound for the orbital period of Kerr-Newman black holes as $T(r)\geqslant 4πM$, where $r$ is the orbital radius, $T(r)$ is the orbital period observed from infinity and $M$ is the black hole mass. This bound is just the same as Hod's conjectured lower bound. So our results further demonstrated that Hod's lower bound may be a general property in black hole spacetimes. |
| title | Lower bound on the orbital period of Kerr-Newman black holes |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.21218 |