Quasinormal modes and the correspondence with shadow in a charged black hole in presence of quintessence

TL;DR

This study explores how quintessence and electric charge influence the shadow and quasinormal modes of a charged black hole, revealing a correspondence between these modes and the shadow in various regimes.

Contribution

It provides a detailed analysis of quasinormal modes and shadow radius in a charged black hole with quintessence, highlighting their interrelation and effects of charge parameters.

Findings

Shadow radius decreases with increasing electric charge.

Quasinormal modes' real and imaginary parts decrease with increasing quintessence charge.

Quasinormal modes from different methods agree in the eikonal limit and at small multipole numbers.

Abstract

In this paper, we investigate the photon sphere, shadow radius and quasinormal modes of a charged black hole in presence of quintessence. The result shows that the shadow radius decreases with the increase of the electric charge. The quasinormal modes are derived by the sixth WKB approximation method and shadow radius, respectively. For the fixed electric charge and multipole number, the values of the real and imaginary parts of the quasinormal modes decrease with the increase of the quintessence charge. When the value of the multipole number is large, the quasinormal modes derived by the two methods are consistent, which shows the correspondence between the quasinormal modes in the eikonal limit and shadow. When the value of the multipole number is small, the quasinormal modes obtained by the two methods are also in good agreement.