Particle Collision near 1+1- Dimensional Horava-Lifshitz Black Hole and Naked Singularity

TL;DR

This paper investigates high-energy particle collisions near 1+1-dimensional Horava-Lifshitz black holes and naked singularities, revealing conditions for unbounded center of mass energy and the effects of dimensionality and particle types.

Contribution

It demonstrates unbounded CM energy in 1+1D Horava-Lifshitz gravity for certain particle collisions, highlighting differences from higher dimensions and the role of outgoing particles.

Findings

Unbounded CM energy occurs near horizons in 1+1D Horava-Lifshitz black holes.

Collisions between infalling photons and particles can achieve unbounded energy.

Absence of angular momentum prevents unbounded energy near naked singularities.

Abstract

The unbounded center of mass (CM) energy of oppositely moving colliding particles near horizon emerge also in 1+1- dimensional Horava-Lifshitz gravity. This theory has imprints of renormalizable quantum gravity characteristics in accordance with the method of simple power counting. Surpris- ingly the result obtained is not valid for a 1- dimensional Compton- like process between an outgoing photon and an infalling massless/ massive particle. It is possible to achieve unbounded CM energy due to collision between infalling photons and particles. The source of outgoing particles may be at- tributed to an explosive process just outside the horizon for a black hole and the naturally repulsive character for the case of a naked singularity. It is found that absence of angular momenta in 1+1- dimensions does not yield unbounded energy for collisions in the vicinity of naked singularities.