Infinite tower of higher-curvature corrections: Quasinormal modes and late-time behavior of D-dimensional regular black holes

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Auteurs principaux: Konoplya, R. A., Zhidenko, A.
Format: Preprint
Publié: 2024
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author Konoplya, R. A.
Zhidenko, A.
author_facet Konoplya, R. A.
Zhidenko, A.
contents Recently, Bueno, Cano, and Hennigar [arXiv:2403.04827] proposed a generic approach for incorporating an infinite tower of higher-curvature corrections into the Einstein theory. In this study, we compute quasinormal modes for certain regular D-dimensional black holes resulting from this infinite series of higher-curvature corrections, specifically focusing on the $D$-dimensional extensions of the Bardeen and Hayward black holes. We demonstrate that while the fundamental mode is minimally affected by moderate coupling constants, the higher overtones exhibit significant sensitivity even to small coupling values, yielding unconventional modes characterized by vanishing real oscillation frequencies. When comparing the frequencies derived from the metric truncated at several orders of higher-curvature corrections with those resulting from the infinite series of terms, we observe a rapid convergence of the frequencies to their limit for the complete regular black hole. This validates the extensive research conducted on specific theories with a finite number of higher-curvature corrections, such as the Lovelock theory.
format Preprint
id arxiv_https___arxiv_org_abs_2403_07848
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Infinite tower of higher-curvature corrections: Quasinormal modes and late-time behavior of D-dimensional regular black holes
Konoplya, R. A.
Zhidenko, A.
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Recently, Bueno, Cano, and Hennigar [arXiv:2403.04827] proposed a generic approach for incorporating an infinite tower of higher-curvature corrections into the Einstein theory. In this study, we compute quasinormal modes for certain regular D-dimensional black holes resulting from this infinite series of higher-curvature corrections, specifically focusing on the $D$-dimensional extensions of the Bardeen and Hayward black holes. We demonstrate that while the fundamental mode is minimally affected by moderate coupling constants, the higher overtones exhibit significant sensitivity even to small coupling values, yielding unconventional modes characterized by vanishing real oscillation frequencies. When comparing the frequencies derived from the metric truncated at several orders of higher-curvature corrections with those resulting from the infinite series of terms, we observe a rapid convergence of the frequencies to their limit for the complete regular black hole. This validates the extensive research conducted on specific theories with a finite number of higher-curvature corrections, such as the Lovelock theory.
title Infinite tower of higher-curvature corrections: Quasinormal modes and late-time behavior of D-dimensional regular black holes
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2403.07848