On the Gravitational Energy of Axial Perturbations in Regular Black Holes

Fuente: arXiv
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Autores principales: Ulhoa, S. C., Carneiro, F. L., Carneiro, B. C. C.
Formato: Preprint
Publicado: 2026
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author Ulhoa, S. C.
Carneiro, F. L.
Carneiro, B. C. C.
author_facet Ulhoa, S. C.
Carneiro, F. L.
Carneiro, B. C. C.
contents The article deals with the gravitational energy associated with axial perturbations of regular black holes. We review the stability of the geometry under odd-parity perturbations and the corresponding quasinormal modes, previously obtained for this class of spacetimes. The perturbative functions describing the metric fluctuations are reconstructed from the master equation. To evaluate the energy content of these perturbations, we employ the Teleparallel Equivalent of General Relativity (TEGR), which provides a well-defined expression for gravitational energy. The gravitational energy is computed up to second order in the perturbation parameter and expressed in terms of the quasinormal mode functions. Our results establish a direct connection between the dynamical response of regular black holes and the energy carried by their gravitational perturbations.
format Preprint
id arxiv_https___arxiv_org_abs_2602_07268
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On the Gravitational Energy of Axial Perturbations in Regular Black Holes
Ulhoa, S. C.
Carneiro, F. L.
Carneiro, B. C. C.
General Relativity and Quantum Cosmology
The article deals with the gravitational energy associated with axial perturbations of regular black holes. We review the stability of the geometry under odd-parity perturbations and the corresponding quasinormal modes, previously obtained for this class of spacetimes. The perturbative functions describing the metric fluctuations are reconstructed from the master equation. To evaluate the energy content of these perturbations, we employ the Teleparallel Equivalent of General Relativity (TEGR), which provides a well-defined expression for gravitational energy. The gravitational energy is computed up to second order in the perturbation parameter and expressed in terms of the quasinormal mode functions. Our results establish a direct connection between the dynamical response of regular black holes and the energy carried by their gravitational perturbations.
title On the Gravitational Energy of Axial Perturbations in Regular Black Holes
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2602.07268