Quasinormal modes of the Schwarzschild black hole with a deficit solid angle and quintessence-like matter: Improved asymptotic iteration method

TL;DR

This paper investigates the quasinormal modes of a Schwarzschild black hole modified by a deficit solid angle and quintessence-like matter, employing advanced numerical methods to analyze their dependence on black hole parameters.

Contribution

It introduces an improved asymptotic iteration method to accurately compute quasinormal modes for this black hole model, comparing results with the WKB approximation and finite difference methods.

Findings

Quasinormal mode frequencies increase as the deficit angle and quintessence density decrease.

The WKB and AIM methods produce consistent quasinormal mode results.

Time evolution profiles of perturbations are obtained using finite difference method.

Abstract

We study the quasinormal modes (QNM) for scalar, and electromagnetic perturbations in the Schwarzschild black hole with a deficit solid angle and quintessence-like matter. Using the sixth--order WKB approximation and the improved asymptotic iteration method (AIM) we can determine the dependence of the quasinormal modes on the parameters of the black hole and the parameters on the test fields. The values of the real part and imaginary parts of the quasi--normal modes increase with the decrease of the values of the deficit solid angle and density of quintessence-like matter. The quasinormal modes gotten by these two methods are in good agreement. Using the finite difference method, we obtain the time evolution profile of such perturbations in this Black Hole.