Quasinormal modes and stability analysis for z=4 Topological black hole in 4+1 dimensional Horava-Lifshitz gravity

TL;DR

This paper analytically calculates quasinormal modes of scalar perturbations for a z=4 topological black hole in 4+1 dimensional Horava-Lifshitz gravity, demonstrating its stability.

Contribution

It provides the first analytical computation of quasinormal modes for this specific black hole in Horava-Lifshitz gravity, establishing its stability.

Findings

The black hole is stable under scalar perturbations.

Analytical expressions for quasinormal modes are derived.

The stability conclusion supports the physical viability of this black hole solution.

Abstract

We study z=4 Topological black hole in 4+1 dimensional Horava-Lifshitz gravity and we calculate analytically the quasinormal modes of scalar perturbations and from these quasinormal modes we show that z=4 Topological black hole in 4+1 dimensional Horava-Lifshitz gravity is stable.