Equilibrium tori orbiting Reissner-Nordström naked singularities
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911764770193408 |
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| author | Mishra, Ruchi Kluźniak, Włodek |
| author_facet | Mishra, Ruchi Kluźniak, Włodek |
| contents | In general relativity, the asymptotically flat space-time of a charged, spherically symmetric (non-rotating) body is described by the Reissner-Nordström metric. This metric corresponds to a naked singularity when the absolute value of charge, $Q$, exceeds the mass, $M$. For all Reissner-Nordström naked singularities, there exists a zero gravity sphere where a test particle can remain at rest. Outside that sphere gravity is attractive, inside it gravity is repulsive. For values of $Q/M>\sqrt{9/8}$ the angular frequency of circular test-particle orbits has a maximum at radius $r=(4/3)\,Q^2/M$. We construct polytropic tori with uniform values of specific angular momentum in the naked singularity regime of the Reissner-Nordström metric, $(Q/M>1)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_01827 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Equilibrium tori orbiting Reissner-Nordström naked singularities Mishra, Ruchi Kluźniak, Włodek General Relativity and Quantum Cosmology In general relativity, the asymptotically flat space-time of a charged, spherically symmetric (non-rotating) body is described by the Reissner-Nordström metric. This metric corresponds to a naked singularity when the absolute value of charge, $Q$, exceeds the mass, $M$. For all Reissner-Nordström naked singularities, there exists a zero gravity sphere where a test particle can remain at rest. Outside that sphere gravity is attractive, inside it gravity is repulsive. For values of $Q/M>\sqrt{9/8}$ the angular frequency of circular test-particle orbits has a maximum at radius $r=(4/3)\,Q^2/M$. We construct polytropic tori with uniform values of specific angular momentum in the naked singularity regime of the Reissner-Nordström metric, $(Q/M>1)$. |
| title | Equilibrium tori orbiting Reissner-Nordström naked singularities |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2312.01827 |