Particle Motion around Black Hole in Horava-Lifshitz Gravity

TL;DR

This paper analytically investigates the motion of charged particles around Kehagias-Sfetsos black holes in Hořava-Lifshitz gravity, revealing how magnetic fields influence particle orbits and estimating the gravity parameter from astrophysical data.

Contribution

It provides exact analytical solutions for particle orbits and the minimal radius dependence on the KS parameter in Hořava-Lifshitz gravity, including numerical analysis and observational comparison.

Findings

Analytical solutions for Maxwell equations around KS black holes.

Dependence of minimal orbit radius on the KS parameter.

Estimated KS parameter from astrophysical data.

Abstract

Analytical solutions of Maxwell equations around black hole immersed in external uniform magnetic field in the background of the Kehagias-Sfetsos (KS) asymptotically flat black hole solution of Ho\v{r}ava-Lifshitz gravity have been found. Influence of magnetic field on effective potential of the radial motion of charged test particle around black hole immersed in external magnetic field in Ho\v{r}ava-Lifshitz gravity has been investigated by using Hamilton-Jacobi method. Exact analytical solution for dependence of the minimal radius of the circular orbits $r_{\rm mc}$ from KS parameter $\omega$ for motion of test particle around spherical symmetric black hole in Ho\v{r}ava-Lifshitz gravity has been derived. The critical values of the particle's angular momentum for captured particles by black hole in Ho\v{r}ava-Lifshitz gravity have been obtained numerically. The comparison of the obtained numerical results with the astrophysical observational data on radii of the innermost stable circular orbits gives us the estimation of the parameter as $\omega \simeq 3.6 \cdot 10^{-24} {\rm cm}^{-2}$.