Quasinormal modes of a black hole with quintessence-like matter and a deficit solid angle: scalar and gravitational perturbations

TL;DR

This paper investigates the quasinormal modes of a black hole surrounded by quintessence-like matter and a deficit solid angle, revealing how these modes vary with different physical parameters using the WKB method.

Contribution

It introduces the analysis of scalar and gravitational perturbations of such black holes, highlighting the effects of quintessence-like matter and deficit angles on quasinormal frequencies.

Findings

Both real and imaginary parts of frequencies decrease with increasing state parameter w.

Quasinormal frequencies vary with the deficit solid angle parameter epsilon.

Frequencies also depend on the density of quintessence-like matter at r=1.

Abstract

In the previous paper (Li, X. Z., Xi, P., Zhai, X. H.: Phys. Lett. B{\bf666}, 125-130 (2008)), we show the solutions of Einstein equations with static spherically-symmetric quintessence-like matter surrounding a global monopole. Furthermore, this monopole become a black hole with quintessence-like matter and a deficit solid angle when it is swallowed by an ordinary black hole. We study its quasinormal modes by WKB method in this paper. The numerical results show that both the real part of the quasinormal frequencies and the imaginary part decrease as the state parameter $w$, for scalar and gravitational perturbations. And we also show variations of quasinormal frequencies of scalar and gravitational fields via different $\epsilon$ (deficit solid angel parameter) and different $\rho_0$ (density of static spherically-symmetric quintessence-like matter at $r=1$), respectively.