Quasinormal modes in Schwarschild black holes due to arbitrary spin fields

TL;DR

This paper uses the Newman-Penrose formalism to analyze quasinormal modes of various massless fields with arbitrary spin in Schwarzschild black holes, revealing contrasting behaviors in oscillation frequencies for bosons and fermions.

Contribution

It provides a unified analysis of quasinormal modes for multiple spin fields in Schwarzschild black holes using the Newman-Penrose formalism and third-order WKB approximation.

Findings

Boson and fermion perturbations show opposite frequency variation with spin.

Damping variations with spin are similar for both boson and fermion perturbations.

The study offers insights into the spin-dependent behavior of black hole quasinormal modes.

Abstract

The Newman-Penrose formalism is used to deal with the massless scalar, neutrino, electromagnetic, gravitino and gravitational quasinormal modes (QNMs) in Schwarzschild black holes in a united form. The quasinormal mode frequencies evaluated by using the 3rd-order WKB potential approximation show that the boson perturbations and the fermion perturbations behave in a contrary way for the variation of the oscillation frequencies with spin, while this is no longer true for the damping's, which variate with $s$ in a same way both for boson and fermion perturbations.