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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2305.09544 |
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| _version_ | 1866914646454173696 |
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| author | Beltracchi, Philip Posada, Camilo |
| author_facet | Beltracchi, Philip Posada, Camilo |
| contents | We reconsider the problem of a slowly rotating homogeneous star, or Schwarzschild star, when its compactness goes beyond the Buchdahl bound and approaches the gravastar limit $R\to 2M$. We compute surface and integral properties of such configuration by integrating the Hartle-Thorne structure equations for slowly rotating relativistic masses, at second order in angular velocity. In the gravastar limit, we show that the metric of a slowly rotating Schwarzschild star agrees with the Kerr metric, thus, within this approximation, it is not possible to tell a gravastar from a Kerr black hole by any observations from the spacetime exterior to the horizon. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_09544 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Slowly rotating ultracompact Schwarzschild star in the gravastar limit Beltracchi, Philip Posada, Camilo General Relativity and Quantum Cosmology We reconsider the problem of a slowly rotating homogeneous star, or Schwarzschild star, when its compactness goes beyond the Buchdahl bound and approaches the gravastar limit $R\to 2M$. We compute surface and integral properties of such configuration by integrating the Hartle-Thorne structure equations for slowly rotating relativistic masses, at second order in angular velocity. In the gravastar limit, we show that the metric of a slowly rotating Schwarzschild star agrees with the Kerr metric, thus, within this approximation, it is not possible to tell a gravastar from a Kerr black hole by any observations from the spacetime exterior to the horizon. |
| title | Slowly rotating ultracompact Schwarzschild star in the gravastar limit |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2305.09544 |