The parameterized quasinormal modes for modified Teukolsky equations

Fuente: arXiv
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Main Authors: Yu, Zhe, Wu, Liang-Bi
Format: Preprint
Published: 2025
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author Yu, Zhe
Wu, Liang-Bi
author_facet Yu, Zhe
Wu, Liang-Bi
contents We introduce the modified Teukolsky equation within a parameterized framework, analogous to the case of small deviations of potential in spherical symmetry. Both the radial and angular equations acquire modifications described by two independent sets of parameters. We derive the parameterized framework of the quasinormal mode spectra using the continued fraction method. The results are cross-validated with the two-dimensional pseudo-spectral method, demonstrating excellent agreement and ensuring self-consistency. This work establishes a robust foundation for a theory-agnostic interpretation of gravitational-wave ringdown signals, providing a practical tool for probing potential deviations from General Relativity in the strong-field regime.
format Preprint
id arxiv_https___arxiv_org_abs_2511_02274
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The parameterized quasinormal modes for modified Teukolsky equations
Yu, Zhe
Wu, Liang-Bi
General Relativity and Quantum Cosmology
We introduce the modified Teukolsky equation within a parameterized framework, analogous to the case of small deviations of potential in spherical symmetry. Both the radial and angular equations acquire modifications described by two independent sets of parameters. We derive the parameterized framework of the quasinormal mode spectra using the continued fraction method. The results are cross-validated with the two-dimensional pseudo-spectral method, demonstrating excellent agreement and ensuring self-consistency. This work establishes a robust foundation for a theory-agnostic interpretation of gravitational-wave ringdown signals, providing a practical tool for probing potential deviations from General Relativity in the strong-field regime.
title The parameterized quasinormal modes for modified Teukolsky equations
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2511.02274