Quasinormal modes and Stability Analysis for 4-dimensional Lifshitz Black Hole
P. A. Gonzalez, Joel Saavedra, Yerko Vasquez

TL;DR
This paper analytically calculates the quasinormal modes of scalar perturbations in a 4D Lifshitz black hole with z=2 to assess its stability, concluding that the black hole remains stable under such perturbations.
Contribution
It provides an analytical computation of quasinormal modes for a 4D Lifshitz black hole, demonstrating its stability, which was previously unexplored.
Findings
Lifshitz black hole is stable under scalar perturbations.
Analytical expressions for quasinormal modes are derived.
Stability analysis supports the robustness of Lifshitz black holes.
Abstract
We study the Lifshitz black hole in 4-dimensions with dynamical exponent z=2 and we calculate analytically the quasinormal modes of scalar perturbations. These quasinormal modes allows to study the stability of the Lifshitz black hole and we have obtained that Lifshitz black hole is stable.
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