Dynamical Formation of Black Holes due to Boundary Effect in Vacuum Gravity
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2025
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| _version_ | 1866914335906856960 |
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| author | Mondal, Puskar Yau, Shing-Tung |
| author_facet | Mondal, Puskar Yau, Shing-Tung |
| contents | We prove that a marginally outer trapped surface (MOTS) can form as a result of Einsteinian evolution in pure vacuum spacetime starting from regular initial data free of MOTSs due to pure boundary effects. We adapt a Cauchy-double-null framework and use the boundary generalized mean curvature condition for the existence of an interior MOTS imposed by the author S-T Yau in \cite{yau}. In particular, we prove that the condition of \cite{yau} can be met dynamically starting from a configuration that does not verify the same through a focusing mechanism. In fact, a very mild incoming radiation can cause a large enough generalized boundary mean curvature of an isotropically large domain so that a MOTS exists in the interior. This is fundamentally different from black hole formation by standard ``gravitational collapse" and can be interpreted as the dynamical realization of a long-suspected idea in GR: MOTS can form because of ``global geometry", not just quasi-local concentration of gravity/matter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09508 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamical Formation of Black Holes due to Boundary Effect in Vacuum Gravity Mondal, Puskar Yau, Shing-Tung General Relativity and Quantum Cosmology Mathematical Physics Analysis of PDEs Differential Geometry We prove that a marginally outer trapped surface (MOTS) can form as a result of Einsteinian evolution in pure vacuum spacetime starting from regular initial data free of MOTSs due to pure boundary effects. We adapt a Cauchy-double-null framework and use the boundary generalized mean curvature condition for the existence of an interior MOTS imposed by the author S-T Yau in \cite{yau}. In particular, we prove that the condition of \cite{yau} can be met dynamically starting from a configuration that does not verify the same through a focusing mechanism. In fact, a very mild incoming radiation can cause a large enough generalized boundary mean curvature of an isotropically large domain so that a MOTS exists in the interior. This is fundamentally different from black hole formation by standard ``gravitational collapse" and can be interpreted as the dynamical realization of a long-suspected idea in GR: MOTS can form because of ``global geometry", not just quasi-local concentration of gravity/matter. |
| title | Dynamical Formation of Black Holes due to Boundary Effect in Vacuum Gravity |
| topic | General Relativity and Quantum Cosmology Mathematical Physics Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2511.09508 |