Year: 2024
Type: article
Abstract: Modifications to general relativity lead to effects in the spectrum of quasinormal modes of black holes. In this paper, we develop a parametrized formalism to describe deviations from general relativity in the Teukolsky equation, which governs linear perturbations of spinning black holes. We do this by introducing a correction to the effective potential of the Teukolsky equation in the form of a $1/r$ expansion controlled by free parameters. The method assumes that a small deviation in the effective potential induces a small modification in the spectrum of modes and in the angular separation constants. We isolate and compute the universal linear contribution to the quasinormal mode frequencies and separation constants in a set of coefficients and test them against known examples in the literature (massive scalar field, Dudley-Finley equation and higher-derivative gravity). We make the coefficients publicly available for relevant overtone, angular momentum, and azimuthal numbers of modes and different values of the black hole spin.
Institutions: Institut de Ciències del Cosmos, Universitat de Barcelona, Scuola Internazionale Superiore di Studi Avanzati, Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Institute for Fundamental Physics of the Universe, Centre National de la Recherche Scientifique, Université Paris Cité, KU Leuven, Max Planck Institute for Gravitational Physics
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G1255325603, G1456475170, Gravitational Universe: Challenges and Opportunities, G2573291500, G285499972, G3511784121, G434337789, Gravitational Universe: Challenges and Opportunities, G4937468798, G4993383890, G5132640529, G520487022, G5427896739, G6230795418, G6645931917, G7685134749, G7702146681, G7731791180, G7915813472, G972786147
OpenAlex ID: W4400933228