Relativistic perturbation theory for black-hole boson clouds
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909089658830848 |
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| author | Cannizzaro, Enrico Sberna, Laura Green, Stephen R. Hollands, Stefan |
| author_facet | Cannizzaro, Enrico Sberna, Laura Green, Stephen R. Hollands, Stefan |
| contents | We develop a relativistic perturbation theory for scalar clouds around rotating black holes. We first introduce a relativistic product and corresponding orthogonality relation between modes, extending a recent result for gravitational perturbations. We then derive the analog of time-dependent perturbation theory in quantum mechanics, and apply it to calculate self-gravitational frequency shifts. This approach supersedes the non-relativistic "gravitational atom" approximation, brings close agreement with numerical relativity, and has practical applications for gravitational-wave astronomy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_10021 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Relativistic perturbation theory for black-hole boson clouds Cannizzaro, Enrico Sberna, Laura Green, Stephen R. Hollands, Stefan General Relativity and Quantum Cosmology High Energy Physics - Theory We develop a relativistic perturbation theory for scalar clouds around rotating black holes. We first introduce a relativistic product and corresponding orthogonality relation between modes, extending a recent result for gravitational perturbations. We then derive the analog of time-dependent perturbation theory in quantum mechanics, and apply it to calculate self-gravitational frequency shifts. This approach supersedes the non-relativistic "gravitational atom" approximation, brings close agreement with numerical relativity, and has practical applications for gravitational-wave astronomy. |
| title | Relativistic perturbation theory for black-hole boson clouds |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2309.10021 |