Perturbations of the Vaidya metric in the frequency domain: Quasi-normal modes and tidal response
arXiv:2407.06009 · doi:10.1103/PhysRevD.110.084081
Abstract
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.
arXiv comment20 pages, 4 figures, accepted for publication in Physical Review D (PRD)
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