Frozen Firewall: Generic Singularity Formation on an Extremal Horizon
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911225818906624 |
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| author | Horowitz, Gary T. Kolanowski, Maciej Santos, Jorge E. |
| author_facet | Horowitz, Gary T. Kolanowski, Maciej Santos, Jorge E. |
| contents | It is known that linearized perturbations of extremal black holes result in growing curvature on the horizon. However, nonlinear perturbations typically do not evolve to extremal black holes and do not have growing curvature at late times. We show that a large class of nonlinear perturbations of an extremal planar anti-de Sitter black hole does have horizon curvature that grows unbounded in time. The late time behavior of the nonlinear evolution is found to be captured by a linearized analysis. We argue that the generic nonlinear perturbation behaves similarly. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_18947 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Frozen Firewall: Generic Singularity Formation on an Extremal Horizon Horowitz, Gary T. Kolanowski, Maciej Santos, Jorge E. High Energy Physics - Theory General Relativity and Quantum Cosmology It is known that linearized perturbations of extremal black holes result in growing curvature on the horizon. However, nonlinear perturbations typically do not evolve to extremal black holes and do not have growing curvature at late times. We show that a large class of nonlinear perturbations of an extremal planar anti-de Sitter black hole does have horizon curvature that grows unbounded in time. The late time behavior of the nonlinear evolution is found to be captured by a linearized analysis. We argue that the generic nonlinear perturbation behaves similarly. |
| title | Frozen Firewall: Generic Singularity Formation on an Extremal Horizon |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2510.18947 |