Fermionic quasinormal modes for two-dimensional Ho\v{r}ava-Lifshitz black holes

TL;DR

This paper investigates fermionic quasinormal modes in two-dimensional Hořava-Lifshitz black holes, revealing their spectral properties and stability characteristics through solving the Dirac equation.

Contribution

It provides the first analysis of fermionic quasinormal modes in these black holes, identifying continuous and discrete spectra and their implications for stability.

Findings

First black hole type has continuous spectrum with negative imaginary part, indicating stability.

Second black hole type exhibits discrete, purely imaginary spectrum, stable for all fermion masses.

Both black hole types are shown to be stable under fermionic perturbations.

Abstract

To obtain fermionic quasinormal modes, the Dirac equation for two types of black holes is investigated. For the first type of black hole, the quasinormal modes have continuous spectrum with negative imaginary part that provides the stability of black hole geometry. For the second type of the black hole, the quasinormal modes have discrete spectrum and are completely imaginary. This type of the black hole appears to be stable for arbitrary masses of fermion field perturbations.