Parametrized quasinormal mode framework for modified Teukolsky equations
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.
Authors
- Pablo A. Cano (ORCID: https://orcid.org/0000-0001-8932-7197)
- S. Maenaut (ORCID: https://orcid.org/0000-0003-1464-2605)
- Sebastian H. Völkel (ORCID: https://orcid.org/0000-0002-9432-7690)
- Lodovico Capuano (ORCID: https://orcid.org/0009-0001-0369-6635)
- Nicola Franchini (ORCID: https://orcid.org/0000-0002-9939-733X)
Institutions
- Scuola Internazionale Superiore di Studi Avanzati (IT)
- University of Trieste (IT)
- Université Paris Cité (FR)
- Institut Català de Ciències del Clima (ES)
- Max Planck Institute for Gravitational Physics (DE)
- Istituto Nazionale di Fisica Nucleare, Sezione di Trieste (IT)
- Institute for Fundamental Physics of the Universe (IT)
- Universitat de Barcelona (ES)
- KU Leuven (BE)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2024-11-05
- DOI
- https://doi.org/10.1103/physrevd.110.104007
- Citations
- 17
- Primary Topic
- Pulsars and Gravitational Waves Research
- Type
- article
- Field-Weighted Citation Impact
- 5.64
Funders
- “la Caixa” Foundation
- European Commission
- Deutsche Forschungsgemeinschaft
- Vlaamse Interuniversitaire Raad
- Fundación Bancaria Caixa d'Estalvis i Pensions de Barcelona
- Horizon 2020 Framework Programme
- H2020 European Research Council
- H2020 Marie Skłodowska-Curie Actions