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

TL;DR

This paper demonstrates a highly accurate correspondence between quasinormal modes and grey-body factors for massive fields in Schwarzschild-de Sitter spacetime, especially when the field mass is moderate, extending previous approximations.

Contribution

It shows that the quasinormal mode and grey-body factor correspondence holds with high accuracy for low multipole numbers in massive field perturbations in de Sitter black holes, filling a gap in existing literature.

Findings

High-accuracy correspondence for low multipole numbers

Grey-body factors calculated for massive scalar fields in Schwarzschild-de Sitter

Extended the understanding of quasinormal mode and grey-body factor relations

Abstract

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 $\mu M/m_{P}$ is not small.