Quasinormal frequencies in Reissner-Nordström de Sitter black holes: constraints from space-time and scalar field parameters

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Hauptverfasser: Chrysostomou, Anna, Cornell, Alan S., Deandrea, Aldo, Park, Seong Chan
Format: Preprint
Veröffentlicht: 2025
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author Chrysostomou, Anna
Cornell, Alan S.
Deandrea, Aldo
Park, Seong Chan
author_facet Chrysostomou, Anna
Cornell, Alan S.
Deandrea, Aldo
Park, Seong Chan
contents We examine the quasinormal modes exhibited by a massive scalar test field carrying an electric charge, oscillating in the outer region of a Reissner-Nordström de Sitter black hole. We examine the quasinormal mode effective potential throughout the black hole mass-charge phase space, finding a single-peaked barrier potential on $r_+ < r < r_c$ for all non-extremised black hole solutions for $\ell \geq 1$. Unlike in the Schwarzschild background, increasing scalar field mass heightens the peak of this barrier potential, while increasing the scalar field charge suppresses it. We compute the corresponding quasinormal frequency spectrum using a WKB-based semi-classical method, where, like the Schwarzschild case, we observe anomalous QNM damping behaviour for small scalar field mass below some critical mass $μ_{crit}$, which is $\ell$-independent for $q=0$.
format Preprint
id arxiv_https___arxiv_org_abs_2501_14834
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quasinormal frequencies in Reissner-Nordström de Sitter black holes: constraints from space-time and scalar field parameters
Chrysostomou, Anna
Cornell, Alan S.
Deandrea, Aldo
Park, Seong Chan
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We examine the quasinormal modes exhibited by a massive scalar test field carrying an electric charge, oscillating in the outer region of a Reissner-Nordström de Sitter black hole. We examine the quasinormal mode effective potential throughout the black hole mass-charge phase space, finding a single-peaked barrier potential on $r_+ < r < r_c$ for all non-extremised black hole solutions for $\ell \geq 1$. Unlike in the Schwarzschild background, increasing scalar field mass heightens the peak of this barrier potential, while increasing the scalar field charge suppresses it. We compute the corresponding quasinormal frequency spectrum using a WKB-based semi-classical method, where, like the Schwarzschild case, we observe anomalous QNM damping behaviour for small scalar field mass below some critical mass $μ_{crit}$, which is $\ell$-independent for $q=0$.
title Quasinormal frequencies in Reissner-Nordström de Sitter black holes: constraints from space-time and scalar field parameters
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2501.14834