Quasinormal modes for Weyl neutrino field in R-N black holes

TL;DR

This paper calculates the quasinormal modes of Weyl neutrino fields in Reissner-Nordström black holes using third-order WKB approximation, revealing charge-dependent frequency differences from Schwarzschild black holes.

Contribution

It introduces a detailed analysis of Weyl neutrino quasinormal modes in charged black holes, highlighting the impact of black hole charge on these modes.

Findings

Quasinormal mode frequencies differ from Schwarzschild black holes due to charge.

Variations in frequencies are similar to those of integral spin fields.

The study employs third-order WKB approximation for calculations.

Abstract

We employ WKB approximation up to the third order to determine the low-lying quasinormal modes for Weyl neutrino field in R-N black holes, which are the most relevant to the evolution of the field around a black hole in the intermediate stage. It is showed that the quasinormal mode frequencies for Weyl neutrino field in R-N black holes are different from those in Schwartzchild black holes owning to the charge-induced additional gravitation, and the variations of the quasinormal mode frequencies for Weyl neutrino field are similar to those for integral spin fields in R-N black holes.