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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.14105 |
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| _version_ | 1866915768001626112 |
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| author | Furugori, Hideo Nishii, Kanji Yoshida, Daisuke Yoshimura, Kaho |
| author_facet | Furugori, Hideo Nishii, Kanji Yoshida, Daisuke Yoshimura, Kaho |
| contents | We define entropic marginally outer trapped surfaces (E-MOTSs) as a generalization of apparent horizons. We then show that, under first-order perturbations around a stationary black hole, the dynamical black hole entropy proposed by Hollands, Wald, and Zhang, defined on a background Killing horizon, can be expressed as the Wall entropy evaluated on an E-MOTS associated with it. Our result ensures that the Hollands-Wald-Zhang entropy reduces to the standard Wald entropy in each stationary regime of a dynamical black hole, thereby reinforcing the robustness of the dynamical entropy formulation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_14105 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Apparent Horizons Associated with Dynamical Black Hole Entropy Furugori, Hideo Nishii, Kanji Yoshida, Daisuke Yoshimura, Kaho General Relativity and Quantum Cosmology High Energy Physics - Theory We define entropic marginally outer trapped surfaces (E-MOTSs) as a generalization of apparent horizons. We then show that, under first-order perturbations around a stationary black hole, the dynamical black hole entropy proposed by Hollands, Wald, and Zhang, defined on a background Killing horizon, can be expressed as the Wall entropy evaluated on an E-MOTS associated with it. Our result ensures that the Hollands-Wald-Zhang entropy reduces to the standard Wald entropy in each stationary regime of a dynamical black hole, thereby reinforcing the robustness of the dynamical entropy formulation. |
| title | Apparent Horizons Associated with Dynamical Black Hole Entropy |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.14105 |