Dirac quasinormal modes of a Schwarzschild black hole surrounded by free static spherically symmetric quintessence

TL;DR

This paper investigates how quintessence surrounding a Schwarzschild black hole affects the quasinormal modes of massless Dirac fields, revealing slower damping and parameter-dependent frequency shifts.

Contribution

It provides the first analysis of Dirac quasinormal modes in a Schwarzschild black hole with static spherically symmetric quintessence using third-order WKB approximation.

Findings

Quintessence causes slower damping of Dirac fields.

The real part of QNMs increases with the state parameter $w_q$.

The potential barrier height increases with $|k|$.

Abstract

We evaluate the quasinormal modes of massless Dirac perturbation in a Schwarzschild black hole surrounded by the free static spherically symmetric quintessence by using the third-order WKB approximation. The result shows that due to the presence of quintessence, the massless field damps more slowly. The real part of the quasinormal modes increases and the the absolute value of the imaginary part increases when the state parameter $w_q$ increases. In other words, the massless Dirac field decays more rapidly for the larger $w_q$. And the peak value of potential barrier gets higher as $|k|$ increases and the location of peak moves along the right for fixed $w_q$.