Quasinormal modes of Dirac field perturbation in Reissner-Nordstr\"{o}m black hole surrounded by quintessence

TL;DR

This paper investigates how Dirac field quasinormal modes behave around Reissner-Nordström black holes with quintessence, revealing that quintessence slows damping and affects mode frequencies.

Contribution

It provides the first analysis of Dirac quasinormal modes in a black hole surrounded by quintessence using the third WKB approximation.

Findings

Imaginary parts of frequencies increase then decrease with charge Q.

Imaginary parts decrease as the absolute value of w_q increases.

Quintessence causes the Dirac field to damp more slowly.

Abstract

The dirac quasinormal modes of the Reissner-Nordstr\"om black hole surrounded by quintessence are investigated using the third WKB approximation. We find that the magnitude of the imaginary part of the quasinormal mode frequencies increases firstly and then decreases as the charge $Q$ increases, but it decreases as the absolute value of $w_{q}$ increases. The magnitude of the imaginary part of quasinormal complex frequencies is smaller than those with no quintessence. That is to say, the dirac field damps more slowly due to the presence of quintessence.