On the quasinormal modes of the de Sitter spacetime

TL;DR

This paper establishes the classical stability of quasinormal modes in de Sitter spacetime, calculates their frequencies, and discusses properties of the radial functions, extending methods from anti-de Sitter contexts.

Contribution

It adapts the Horowitz-Hubeny method to de Sitter spacetime and computes quasinormal frequencies, providing new insights into gravitational perturbations.

Findings

Confirmed classical stability of de Sitter quasinormal modes

Calculated explicit quasinormal frequencies for gravitational perturbations

Analyzed properties of radial functions of these modes

Abstract

Modifying a method by Horowitz and Hubeny for asymptotically anti-de Sitter black holes, we establish the classical stability of the quasinormal modes of the de Sitter spacetime. Furthermore using a straightforward method we calculate the de Sitter quasinormal frequencies of the gravitational perturbations and discuss some properties of the radial functions of these quasinormal modes.