Quasinormal modes of a Schwarzschild black hole surrounded by free static spherically symmetric quintessence: Electromagnetic perturbations

TL;DR

This study investigates how electromagnetic quasinormal modes of a Schwarzschild black hole are affected by surrounding quintessence, revealing slower damping and boundary condition modifications depending on the quintessence state parameter.

Contribution

It provides the first analysis of electromagnetic quasinormal modes in Schwarzschild black holes with quintessence using third-order WKB approximation, highlighting the influence of quintessence parameters.

Findings

Quasinormal modes damp more slowly with quintessence presence.

Boundary conditions are modified for certain quintessence parameters.

Behavior resembles black holes in de Sitter/Anti-de Sitter spacetime for specific parameters.

Abstract

In this paper, we evaluated the quasinormal modes of electromagnetic perturbation in a Schwarzschild black hole surrounded by the static spherically symmetric quintessence by using the third-order WKB approximation when the quintessential state parameter $ w_{q}$ in the range of $-1/3<w_{q}<0$. Due to the presence of quintessence, Maxwell field damps more slowly. And when at $-1<w_{q}<-1/3$, it is similar to the black hole solution in the ds/Ads spacetime. The appropriate boundary conditions need to be modified.