Loosely trapped surface for slowly rotating 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_ | 1866916325369053184 |
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| author | Izumi, Keisuke Shiromizu, Tetsuya Yoshida, Daisuke Tomikawa, Yoshimune Yoshino, Hirotaka |
| author_facet | Izumi, Keisuke Shiromizu, Tetsuya Yoshida, Daisuke Tomikawa, Yoshimune Yoshino, Hirotaka |
| contents | We construct the marginal loosely trapped surface (marginal LTS) for the Kerr spacetime with a small Kerr parameter perturbatively, where the LTS condition is saturated. An LTS is a surface that specifies the strong gravity region, which is a generalization of the photon sphere in the Schwarzschild spacetime. It turns out that there are an infinite number of marginal LTSs. At the leading order of the small Kerr parameter, all of the marginal LTSs have the same area. However, one can see that the maximal marginal LTS among them is uniquely determined at the higher order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_04175 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Loosely trapped surface for slowly rotating black hole Izumi, Keisuke Shiromizu, Tetsuya Yoshida, Daisuke Tomikawa, Yoshimune Yoshino, Hirotaka General Relativity and Quantum Cosmology We construct the marginal loosely trapped surface (marginal LTS) for the Kerr spacetime with a small Kerr parameter perturbatively, where the LTS condition is saturated. An LTS is a surface that specifies the strong gravity region, which is a generalization of the photon sphere in the Schwarzschild spacetime. It turns out that there are an infinite number of marginal LTSs. At the leading order of the small Kerr parameter, all of the marginal LTSs have the same area. However, one can see that the maximal marginal LTS among them is uniquely determined at the higher order. |
| title | Loosely trapped surface for slowly rotating black hole |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2407.04175 |