Dynamical evolution of scalar perturbation in Ho\v{r}ava-Lifshitz black-hole spacetimes

TL;DR

This paper investigates how massless scalar fields decay over time in Hořava-Lifshitz black-hole spacetimes with different coupling constants, revealing unique decay behaviors that differ from Schwarzschild AdS black holes.

Contribution

It provides the first detailed analysis of scalar perturbation evolution in Hořava-Lifshitz black holes for specific coupling constants, highlighting distinctive decay characteristics.

Findings

Scalar perturbations decay without oscillation.

Decay rates depend on black hole parameters.

Results differ from Schwarzschild AdS black holes.

Abstract

We study the dynamical evolution of a massless scalar perturbation in the Ho\v{r}ava-Lifshitz black-hole spacetimes with the coupling constants $\lambda={1/3}$, $\lambda={1/2}$ and $\lambda=3$, respectively. Our calculation shows that, for the three cases, the scalar perturbations decay without any oscillation in which the decay rate imprints the parameter of the Ho\v{r}ava-Lifshitz black hole. The results are quite different from those in the Schwarzschild AdS black hole and can help us understand more about the Ho\v{r}ava-Lifshitz gravity.