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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 · ORCID
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 5 Pith papers

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    Infinitesimal negative or stochastic near-horizon deformations of the Regge-Wheeler potential can destabilize an otherwise stable Schwarzschild black hole in a toy scalar-field model.

  3. Quasinormal Ringdown and Echoes in Accreting Exotic Compact Objects

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Echoes from an accreting exotic compact object are progressively compressed and suppressed, then vanish when the event horizon overtakes the reflecting surface, after which the signal becomes ordinary black-hole ringdown.

  4. Homothetic Killing horizons in generic Vaidya spacetimes

    gr-qc 2026-04 unverdicted novelty 6.0 of 10

    Vaidya-type dynamical black holes admit homothetic Killing vectors only for linear-in-null-time mass/charge/rotation profiles, and the resulting homothetic Killing horizons carry surface gravities obeying a flux-balan...

  5. Can We Detect Deviations from Einstein's Gravity in Black Hole Ringdowns?

    gr-qc 2024-11 conditional novelty 4.0 of 10

    Higher-derivative corrections to black hole ringdown spectra and quadratic modes are either absent or suppressed below detectability once causality is enforced, leaving Einstein's gravity as the sole observable description.

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