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PreprintarXiv licencearXiv

Discrete symmetries of modified Teukolsky equations

  • Ciro De Simone
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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.

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Cite

BibTeXRIS
BibTeX
@misc{simone2026discrete,
  title = {{Discrete symmetries of modified Teukolsky equations}},
  author = {Ciro De Simone},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2607.27053},
  eprint = {2607.27053},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.27053},
}
RIS
TY  - UNPB
TI  - Discrete symmetries of modified Teukolsky equations
AU  - Ciro De Simone
PY  - 2026
DA  - 2026/10/25
PB  - arXiv
DO  - 10.48550/arxiv.2607.27053
UR  - https://arxiv.org/abs/2607.27053
AB  - 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.
ER  -