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Perturbations of the Vaidya metric in the frequency domain: Quasi-normal modes and tidal response

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arxiv 2407.06009 v2 pith:Z4X2LG7L submitted 2024-07-08 gr-qc

Lodovico Capuano , Luca Santoni , Enrico Barausse This is my paper
classification gr-qc
keywords massperturbationsbackgroundblackchangedomainfrequencygravitational
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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.

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Cited by 6 Pith papers

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