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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.04779 |
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| _version_ | 1866909738864738304 |
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| author | Chiang, Hsu-Wen Garcia-Saenz, Sebastian Sang, Aofei |
| author_facet | Chiang, Hsu-Wen Garcia-Saenz, Sebastian Sang, Aofei |
| contents | In the presence of non-minimal gravitational couplings, matter field perturbations on a static black hole spacetime may develop unphysical poles in their linearized equations. Physical solutions confined in the domain between the event horizon and a pole satisfy a boundary value problem, although with boundary conditions which are different from standard quasi-normal modes. We refer to them as "trapped quasi-normal modes". Focusing on a Schwarzschild black hole in Einstein-Proca theory, we find that trapped quasi-normal modes accurately capture the behavior of perturbations under time evolution. In particular, axial-vector modes are unstable, with a growth rate that increases with multipole number. More interestingly, we uncover a new instability that affects monopole perturbations. These results confirm the existence of a novel destabilization mechanism of black holes by non-minimally coupled vector fields, with potential implications to well-studied models of modified gravity and cosmology based on vector particles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04779 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Black hole destabilization via trapped quasi-normal modes Chiang, Hsu-Wen Garcia-Saenz, Sebastian Sang, Aofei General Relativity and Quantum Cosmology High Energy Physics - Theory In the presence of non-minimal gravitational couplings, matter field perturbations on a static black hole spacetime may develop unphysical poles in their linearized equations. Physical solutions confined in the domain between the event horizon and a pole satisfy a boundary value problem, although with boundary conditions which are different from standard quasi-normal modes. We refer to them as "trapped quasi-normal modes". Focusing on a Schwarzschild black hole in Einstein-Proca theory, we find that trapped quasi-normal modes accurately capture the behavior of perturbations under time evolution. In particular, axial-vector modes are unstable, with a growth rate that increases with multipole number. More interestingly, we uncover a new instability that affects monopole perturbations. These results confirm the existence of a novel destabilization mechanism of black holes by non-minimally coupled vector fields, with potential implications to well-studied models of modified gravity and cosmology based on vector particles. |
| title | Black hole destabilization via trapped quasi-normal modes |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.04779 |