Work

Discrete symmetries of modified Teukolsky equations

Year: 2026
Type: article
Abstract: The Teukolsky equation possesses discrete symmetries that constrain the properties of black hole perturbations and their quasinormal mode spectrum. In this study, we explore how a class of modifications of the Teukolsky potential can alter the symmetry structure of the equation and break the m = 0 degeneracy of quasinormal modes. We prove this result in frequency domain using the master Teukolsky equation and in time domain via (2+1)-dimensional simulations. We also show that the discrete symmetries can be leveraged for a more efficient characterization of the m = 0 quasinormal modes from time-domain evolutions. As a theory-specific application, we consider the case of higher-derivative theories of gravity, highlighting that time-domain implementations of frequency-domain potentials can give rise to additional non-physical branches of modes.
Language: English
Open Access status: green
OpenAlex ID: W7220837889
FWCI:
Cites: 55
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Related to: 10