Black holes in massive gravity: Quasi-normal modes of scalar perturbations

TL;DR

This paper investigates the quasinormal modes of scalar perturbations around black holes in massive gravity, analyzing how various parameters affect these modes using multiple computational methods and comparing results with Schwarzschild black holes.

Contribution

It introduces a comprehensive analysis of scalar quasinormal modes in massive gravity, employing WKB, null geodesics, and Poschl-Teller methods, and compares findings with Schwarzschild black holes.

Findings

Quasinormal frequencies vary with black hole parameters.

Multiple computational approaches yield consistent results.

Differences observed compared to Schwarzschild black holes.

Abstract

We have studied quasinormal modes of scalar perturbations of a black hole in massive gravity. The parameters of the theory, such as the mass of the black hole, the scalar charge of the black hole and the spherical harmonic index is varied to see how the corresponding quasinormal frequencies change. We have also studied the massive scalar field perturbations. Most of the work is done using WKB approach while sections are devoted to compute quasinormal modes via the unstable null geodesics approach and the Poschl-Teller approximation. Comparisons are done with the Schwarzschild black hole.