Quasinormal modes of RN black hole space time with cosmic string in a Dirac field

TL;DR

This paper calculates quasinormal mode frequencies for Reissner-Nordström black holes with cosmic strings under Dirac field perturbations, revealing charge-dependent effects on decay rates influenced by cosmic strings.

Contribution

It introduces a novel analysis of Dirac field perturbations on RN black holes with cosmic strings using the P"{o}schl-Teller potential method, highlighting charge and string effects.

Findings

Cosmic strings significantly affect decay rates for negatively charged Dirac fields in small charge RN black holes.

Positive charge Dirac fields decay less in black holes with cosmic strings compared to those without.

Effect of cosmic strings dominates in small charge black holes with negatively charged Dirac perturbations.

Abstract

We evaluate quasinormal mode frequencies for RN black hole space times with cosmic string perturbed by a massless Dirac field, using P\"{o}schl-Teller potential method. We find that only in the case of RN black hole having small charge, the effect due to cosmic string will dominate when perturbed by a negatively charged Dirac field, but if we are perturbing with positively charged Dirac field decay will be less in the case of black hole having cosmic string compared to the RN black hole without string