Taming the Aretakis instability: extremal black holes with multi-degenerate horizons
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908970796449792 |
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| author | Agrawal, Shreyansh Charalambous, Panagiotis Donnay, Laura Liberati, Stefano Neri, Giulio |
| author_facet | Agrawal, Shreyansh Charalambous, Panagiotis Donnay, Laura Liberati, Stefano Neri, Giulio |
| contents | Stationary black hole geometries with non-degenerate Cauchy horizons are classically unstable due to mass inflation. At extremality, mass inflation is absent, but a different dynamical instability arises: the Aretakis instability. In this work, we investigate the properties of degenerate horizons and their associated Aretakis instabilities. By studying examples with increasingly higher-order horizon degeneracy, we show that the Aretakis instability weakens as the degree of degeneracy grows. Motivated by these results, we propose a new black hole geometry characterized by an infinitely degenerate horizon, which we argue is stable under Aretakis-type perturbations and may therefore provide a concrete realization of a "graveyard" end state for these objects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_15260 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Taming the Aretakis instability: extremal black holes with multi-degenerate horizons Agrawal, Shreyansh Charalambous, Panagiotis Donnay, Laura Liberati, Stefano Neri, Giulio General Relativity and Quantum Cosmology High Energy Physics - Theory Stationary black hole geometries with non-degenerate Cauchy horizons are classically unstable due to mass inflation. At extremality, mass inflation is absent, but a different dynamical instability arises: the Aretakis instability. In this work, we investigate the properties of degenerate horizons and their associated Aretakis instabilities. By studying examples with increasingly higher-order horizon degeneracy, we show that the Aretakis instability weakens as the degree of degeneracy grows. Motivated by these results, we propose a new black hole geometry characterized by an infinitely degenerate horizon, which we argue is stable under Aretakis-type perturbations and may therefore provide a concrete realization of a "graveyard" end state for these objects. |
| title | Taming the Aretakis instability: extremal black holes with multi-degenerate horizons |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.15260 |