Scalar and Electromagnetic Quasinormal modes of Extended black hole in F(R) gravity

TL;DR

This paper investigates the scalar and electromagnetic quasinormal modes of an extended black hole in F(R) gravity, demonstrating stability and the influence of scalar field mass on damping rates.

Contribution

It provides the first analysis of quasinormal modes for this specific black hole in F(R) gravity using the third order WKB method.

Findings

Black hole is stable against scalar and electromagnetic perturbations.

Imaginary part of quasinormal modes increases, indicating damping.

Scalar field mass affects damping rate, decreasing the imaginary part.

Abstract

In this paper we study the scalar and electromagnetic perturbations of an extended black hole in F(R) gravity. The quasinormal modes in two cases are evaluated and studied their behavior by plotting graphs in each case. To study the quasinormal mode, we use the third order WKB method. The present study shows that the absolute value of imaginary part of complex quasinormal modes increases in both cases, thus the black hole is stable against these perturbations. As the mass of the scalar field increases the imaginary part of the frequency decreases. Thus damping slows down with increasing mass of the scalar field.