Quasinormal modes of a black hole in the deformed Ho\v{r}ava-Lifshitz gravity

TL;DR

This paper investigates the quasinormal modes of scalar perturbations around a deformed black hole in Hořava-Lifshitz gravity, revealing unique decay behaviors influenced by the gravity's parameters, distinct from other black hole models.

Contribution

It provides the first detailed analysis of quasinormal modes in a deformed Hořava-Lifshitz black hole, highlighting how these modes depend on gravity parameters and differ from other black hole spacetimes.

Findings

Quasinormal frequencies depend on Hořava-Lifshitz gravity parameters.

Scalar perturbations decay more slowly compared to other black holes.

The behavior of modes differs from Reissner-Nordström and Einstein-Born-Infeld black holes.

Abstract

We study the quasinormal modes of the massless scalar perturbation in the background of a deformed black hole in the Ho\v{r}ava-Lifshitz gravity with coupling constant $\lambda=1$. Our results show that the quasinormal frequencies depend on the parameter in the Ho\v{r}ava-Lifshitz gravity and the behavior of the quasinormal modes is different from those in the Reissner-Norstr\"{om} and Einstein-Born-Infeld black hole spacetimes. The absolute value of imaginary parts is smaller and the scalar perturbations decay more slowly in the deformed Ho\v{r}ava-Lifshitz black hole spacetime. This information can help us understand more about the Ho\v{r}ava-Lifshitz gravity.