Evolution of electromagnetic and Dirac perturbations around a black hole in Horava gravity

TL;DR

This paper studies how electromagnetic and Dirac perturbations evolve around Kehagias-Sfetsos black holes in Horava-Lifshitz gravity, revealing deviations from Schwarzschild behavior and effects of the HL parameter on quasinormal modes.

Contribution

It provides the first detailed analysis of electromagnetic and Dirac perturbations in Kehagias-Sfetsos black holes within Horava-Lifshitz gravity, including quasinormal mode evaluation and parameter dependence.

Findings

Field evolution differs significantly from Schwarzschild black holes.

Quasinormal mode duration increases with the HL parameter α.

Late-time decay follows the same power-law tail as Schwarzschild black holes.

Abstract

The evolution of electromagnetic and Dirac perturbations in the spacetime geometry of Kehagias-Sfetsos(KS) black hole in the deformed Horava-Lifshitz(HL) gravity is investigated and the associated quasinormal modes are evaluated using time domain integration and WKB methods. We find a considerable deviation in the nature of field evolution in HL theory from that in the Schwarzschild spacetime and QNMs region extends over a longer time in HL theory before the power-law tail decay begins. The dependence of the field evolution on the HL parameter $\alpha$ are studied. In the time domain picture we find that the length of QNM region increases with $\alpha$. But the late time decay of field follows the same power-law tail behavior as in the case of Schwarzschild black hole.