Black holes in massive gravity: quasinormal modes of Dirac field perturbations

TL;DR

This study investigates the quasinormal modes of massless Dirac fields around black holes in massive gravity, analyzing parameter effects and comparing numerical results with analytical approximations and Schwarzschild black holes.

Contribution

It provides the first detailed analysis of Dirac field quasinormal modes in massive gravity black holes, including analytical and numerical comparisons.

Findings

Quasinormal frequencies vary with black hole parameters.

Analytical Pöschl-Teller approximation matches numerical results.

Differences observed compared to Schwarzschild black holes.

Abstract

We have studied quasinormal modes of spinor $\frac{1}{2}$, massless Dirac field 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, mode number and the multipole number are varied to observe how the corresponding quasinormal frequencies change. We have also used the P$\ddot{o}$schl-Teller approximation to reach analytical values for the frequencies of quasinormal modes for comparison with the numerically obtained values. Comparisons are done with the frequencies of the Schwarzschild black hole.