Version 1
: Received: 1 November 2023 / Approved: 2 November 2023 / Online: 2 November 2023 (04:04:35 CET)
How to cite:
Bolokhov, S. Long-Lived Quasinormal Modes and Overtones’ Behavior of the Holonomy Corrected Black Holes. Preprints2023, 2023110112. https://doi.org/10.20944/preprints202311.0112.v1
Bolokhov, S. Long-Lived Quasinormal Modes and Overtones’ Behavior of the Holonomy Corrected Black Holes. Preprints 2023, 2023110112. https://doi.org/10.20944/preprints202311.0112.v1
Bolokhov, S. Long-Lived Quasinormal Modes and Overtones’ Behavior of the Holonomy Corrected Black Holes. Preprints2023, 2023110112. https://doi.org/10.20944/preprints202311.0112.v1
APA Style
Bolokhov, S. (2023). Long-Lived Quasinormal Modes and Overtones’ Behavior of the Holonomy Corrected Black Holes. Preprints. https://doi.org/10.20944/preprints202311.0112.v1
Chicago/Turabian Style
Bolokhov, S. 2023 "Long-Lived Quasinormal Modes and Overtones’ Behavior of the Holonomy Corrected Black Holes" Preprints. https://doi.org/10.20944/preprints202311.0112.v1
Abstract
Recently massless test scalar field perturbations of the holonomy corrected black holes [Z. Moreira et. al. Phys. Rev. D 107 (2023) 10, 104016] were studied in order to estimate quantum corrections to the quasinormal spectrum of a black hole. Here we study both the fundamental mode and overtones of scalar, electromagnetic and Dirac fields with the help of the Leaver method and higher order WKB formula with Pad\'e approximants. We observe that the overtones depend on the geometry near the event horizon, while the fundamental mode is localized near the peak of the potential barrier, what agrees with previous studies. We showed that unlike a massless field, the massive one possesses arbitrarily long lived modes. We also obtain the analytical eikonal formula for quasinormal modes and its extension beyond eikonal approximation as a series in powers of $1/\ell$, where $\ell$ is the multipole number.
Keywords
black holes; quasinormal modes; gravitation
Subject
Physical Sciences, Theoretical Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
