Perturbations of the Vaidya metric in the frequency domain: Quasi-normal modes and tidal response
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| Format: | Preprint |
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2024
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| _version_ | 1866911034252460032 |
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| author | Capuano, Lodovico Santoni, Luca Barausse, Enrico |
| author_facet | Capuano, Lodovico Santoni, Luca Barausse, Enrico |
| contents | The mass of a black hole can dynamically evolve due to various physical processes, such as for instance accretion, Hawking radiation, absorption of gravitational/electromagnetic waves, superradiance, etc. This evolution can have an impact on astrophysical observables, like the ringdown gravitational signal. An effective description of a spherically symmetric black hole with evolving mass is provided by the Vaidya metric. In our investigation, we explore the dynamics of linear perturbations on this background, assuming a constant rate of change for the mass. Despite the time-dependent background, a judicious change of coordinates allows us to treat the perturbations in the frequency domain, and to compute explicitly the quasi-normal modes and the tidal Love numbers. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_06009 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Perturbations of the Vaidya metric in the frequency domain: Quasi-normal modes and tidal response Capuano, Lodovico Santoni, Luca Barausse, Enrico General Relativity and Quantum Cosmology The mass of a black hole can dynamically evolve due to various physical processes, such as for instance accretion, Hawking radiation, absorption of gravitational/electromagnetic waves, superradiance, etc. This evolution can have an impact on astrophysical observables, like the ringdown gravitational signal. An effective description of a spherically symmetric black hole with evolving mass is provided by the Vaidya metric. In our investigation, we explore the dynamics of linear perturbations on this background, assuming a constant rate of change for the mass. Despite the time-dependent background, a judicious change of coordinates allows us to treat the perturbations in the frequency domain, and to compute explicitly the quasi-normal modes and the tidal Love numbers. |
| title | Perturbations of the Vaidya metric in the frequency domain: Quasi-normal modes and tidal response |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2407.06009 |