Decay of massless Dirac field around the Born-Infeld Black Hole

TL;DR

This study analyzes how massless Dirac fields decay around Born-Infeld black holes by calculating quasinormal modes, revealing the influence of non-linear electromagnetic parameters and comparing results with Reissner-Nordstrom black holes.

Contribution

It provides the first detailed analysis of Dirac field decay in Born-Infeld black holes using sixth order WKB approximation, highlighting differences from linear black hole models.

Findings

Decay rates depend on the black hole's non-linear parameter, temperature, and charge.

Quasinormal modes show distinctive behavior compared to Reissner-Nordstrom black holes.

The decay rates decrease with increasing non-linear parameter.

Abstract

In this paper we investigate the perturbations by a massless Dirac spinor of a Born-Infeld black hole. The decay rates of the spinor field which is given by the quasinormal mode frequencies are computed using the sixth order WKB approximation. The behavior of the quasi normal modes with the non-linear parameter, temperature and charge of the black hole are analyzed in detail. We also compare the decay rates of the Born-Infeld black hole with its linear counter-part Reissner-Nordstrom black hole.