Symmetry and instability of marginally outer trapped surfaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909186976120832 |
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| author | Booth, Ivan Cox, Graham Margalef-Bentabol, Juan |
| author_facet | Booth, Ivan Cox, Graham Margalef-Bentabol, Juan |
| contents | We consider an initial data set having a continuous symmetry and a marginally outer trapped surface (MOTS) that is not preserved by this symmetry. We show that such a MOTS is unstable except in an exceptional case. In non-rotating cases we provide a Courant-type lower bound on the number of unstable eigenvalues. These results are then used to prove the instability of a large class of exotic MOTSs that were recently observed in the Schwarzschild spacetime. We also discuss the implications for the apparent horizon in data sets with translational symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_02063 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Symmetry and instability of marginally outer trapped surfaces Booth, Ivan Cox, Graham Margalef-Bentabol, Juan General Relativity and Quantum Cosmology Differential Geometry We consider an initial data set having a continuous symmetry and a marginally outer trapped surface (MOTS) that is not preserved by this symmetry. We show that such a MOTS is unstable except in an exceptional case. In non-rotating cases we provide a Courant-type lower bound on the number of unstable eigenvalues. These results are then used to prove the instability of a large class of exotic MOTSs that were recently observed in the Schwarzschild spacetime. We also discuss the implications for the apparent horizon in data sets with translational symmetry. |
| title | Symmetry and instability of marginally outer trapped surfaces |
| topic | General Relativity and Quantum Cosmology Differential Geometry |
| url | https://arxiv.org/abs/2311.02063 |