The Upper Bound of Event Horizon Formation Time in Generalized Oppenheimer-Snyder Collapse
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| Format: | Preprint |
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2025
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| _version_ | 1866917177775357952 |
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| author | Li, Zhi-Chao Khodabakhshi, H. Lu, H. |
| author_facet | Li, Zhi-Chao Khodabakhshi, H. Lu, H. |
| contents | We prove that, in the framework of the Oppenheimer-Snyder collapse, the Schwarzschild exterior maximizes the event horizon formation time $ΔT_{\text{eh}}=\frac{19}{6}m$ among all asymptotically flat, static, spherically-symmetric black holes with the same ADM mass $m$ that satisfy the weak energy condition. This bound extends the typical black hole inequalities--such as the Penrose inequality, which constrains spatial geometry--to temporal setting. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_24421 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Upper Bound of Event Horizon Formation Time in Generalized Oppenheimer-Snyder Collapse Li, Zhi-Chao Khodabakhshi, H. Lu, H. General Relativity and Quantum Cosmology High Energy Physics - Theory We prove that, in the framework of the Oppenheimer-Snyder collapse, the Schwarzschild exterior maximizes the event horizon formation time $ΔT_{\text{eh}}=\frac{19}{6}m$ among all asymptotically flat, static, spherically-symmetric black holes with the same ADM mass $m$ that satisfy the weak energy condition. This bound extends the typical black hole inequalities--such as the Penrose inequality, which constrains spatial geometry--to temporal setting. |
| title | The Upper Bound of Event Horizon Formation Time in Generalized Oppenheimer-Snyder Collapse |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.24421 |