Instability of nonsingular black holes in nonlinear electrodynamics
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909513425092608 |
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| author | De Felice, Antonio Tsujikawa, Shinji |
| author_facet | De Felice, Antonio Tsujikawa, Shinji |
| contents | We show that nonsingular black holes realized in nonlinear electrodynamics are always prone to Laplacian instability around the center because of a negative squared sound speed in the angular direction. This is the case for both electric and magnetic BHs, where the instability of one of the vector-field perturbations leads to enhancing a dynamical gravitational perturbation in the even-parity sector. Thus, the background regular metric is no longer maintained in a steady state. Our results suggest that the construction of stable, nonsingular black holes with regular centers, if they exist, requires theories beyond nonlinear electrodynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00314 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Instability of nonsingular black holes in nonlinear electrodynamics De Felice, Antonio Tsujikawa, Shinji General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory We show that nonsingular black holes realized in nonlinear electrodynamics are always prone to Laplacian instability around the center because of a negative squared sound speed in the angular direction. This is the case for both electric and magnetic BHs, where the instability of one of the vector-field perturbations leads to enhancing a dynamical gravitational perturbation in the even-parity sector. Thus, the background regular metric is no longer maintained in a steady state. Our results suggest that the construction of stable, nonsingular black holes with regular centers, if they exist, requires theories beyond nonlinear electrodynamics. |
| title | Instability of nonsingular black holes in nonlinear electrodynamics |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.00314 |