Correspondence between quasinormal modes and grey-body factors for massive fields in Schwarzschild-de Sitter spacetime

Fuente: arXiv
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Autor principal: Malik, Zainab
Formato: Preprint
Publicado: 2024
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author Malik, Zainab
author_facet Malik, Zainab
contents Recently, a correspondence between quasinormal modes and grey-body factors of black holes has been established. This correspondence is known to be exact in the eikonal regime for a large class of asymptotically flat black holes and approximate when the multipole number \( \ell \) is small. In this work, we demonstrate that there exists a regime where the correspondence holds with unprecedented accuracy even for the lowest multipole numbers: specifically, for perturbations of massive fields in the background of asymptotically de Sitter black holes, provided the field mass is not very small. We also fill the gap in the existing literature via finding the grey-body factors of a massive scalar field in the Schwarzschild- de Sitter background, when $μM/m_{P}$ is not small.
format Preprint
id arxiv_https___arxiv_org_abs_2412_19443
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Correspondence between quasinormal modes and grey-body factors for massive fields in Schwarzschild-de Sitter spacetime
Malik, Zainab
General Relativity and Quantum Cosmology
Recently, a correspondence between quasinormal modes and grey-body factors of black holes has been established. This correspondence is known to be exact in the eikonal regime for a large class of asymptotically flat black holes and approximate when the multipole number \( \ell \) is small. In this work, we demonstrate that there exists a regime where the correspondence holds with unprecedented accuracy even for the lowest multipole numbers: specifically, for perturbations of massive fields in the background of asymptotically de Sitter black holes, provided the field mass is not very small. We also fill the gap in the existing literature via finding the grey-body factors of a massive scalar field in the Schwarzschild- de Sitter background, when $μM/m_{P}$ is not small.
title Correspondence between quasinormal modes and grey-body factors for massive fields in Schwarzschild-de Sitter spacetime
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2412.19443