Quasinormal modes of a massless Dirac field in de Rham-Gabadadze-Tolley massive gravity

TL;DR

This paper studies the quasinormal modes of a massless Dirac field around black holes in de Rham-Gabadadze-Tolley massive gravity, revealing how graviton mass parameters influence mode damping and potential shape.

Contribution

It introduces a detailed analysis of Dirac quasinormal modes in dRGT massive gravity, highlighting the impact of graviton mass on mode behavior and potential structure.

Findings

Quasinormal mode frequencies depend on graviton mass parameters.

Higher potentials lead to stronger damping of modes.

Results are consistent with the Schwarzschild-de Sitter case.

Abstract

The quasinormal modes of a massless Dirac field in the de Rham-Gabadadze-Tolley (dRGT) massive gravity theory with asymptotically de Sitter spacetime are investigated using the Wentzel- Kramers-Brillouin (WKB) approximation. The effective potential for the massless Dirac field due to the dRGT black hole is derived. It is found that the shape of the potential depends crucially on the structure of the graviton mass and the behavior of the quasinormal modes is controlled by the graviton mass parameters. Higher potentials give stronger damping of the quasinormal modes. We compare our results to the Schwarzschild-de Sitter case. Our numerical calculations are checked using Pad$\acute{e}$ approximation and found that the quasinormal mode frequencies converge to ones with reasonable accuracy.