Particle acceleration in Horava-Lifshitz black holes

TL;DR

This paper investigates particle collision energies near Horava-Lifshitz black holes, revealing conditions for unlimited energy in rotating cases and comparing results with Kerr black holes, including temperature effects and critical angular momentum.

Contribution

It provides the first analysis of center-of-mass energy in Horava-Lifshitz black holes, highlighting conditions for unbounded energy in rotating scenarios and comparing with Kerr black holes.

Findings

Center-of-mass energy is limited for static black holes.

Rotating Horava-Lifshitz black holes can produce arbitrarily high collision energies.

Temperature influences the energy near the black hole horizon.

Abstract

In this paper we calculate the center-of-mass energy of two colliding test particles near the rotating and non-rotating Horava-Lifshitz black hole. For the case of slowly rotating KS solution of Horava-Lifshitz black hole we compare our results with the case of Kerr black holes. We confirm the limited value of the center-of-mass energy for the static black holes and unlimited value of the center-of-mass energy for the rotating black holes. Numerically, we discuss temperature dependence of the center-of-mass energy on the black hole horizon. We obtain the critical angular momentum of particles. In this limit the center-of-mass energy of two colliding particles in the neighborhood of the rotating Horava-Lifshitz black hole could be arbitrarily high. We found appropriate conditions where the critical angular momentum could have an orbit outside the horizon. Finally, we obtain center-of-mass energy corresponding to this circle orbit.