Particle collisions in the lower dimensional rotating black hole space-time with the cosmological constant

TL;DR

This study investigates ultra-high energy particle collisions near the horizons of 2+1 dimensional BTZ black holes, revealing conditions under which the BSW effect can occur in rotating black hole space-times with a cosmological constant.

Contribution

It demonstrates the possibility of the BSW process occurring inside the horizon of non-extremal BTZ black holes and on the degenerate horizon of extremal ones, considering particle angular momentum.

Findings

Critical angular momentum particles can exist inside the outer horizon.

The BSW process is feasible on the inner horizon with parameter fine-tuning.

In extremal cases, the process occurs on the degenerate horizon.

Abstract

In this paper, we study the effect of ultra-high energy collisions of two particles with different energies near the horizon of a 2+1 dimensional BTZ black hole (BSW effect). We find that the particle with the critical angular momentum could exist inside the outer horizon of BTZ black hole regardless of the particle energy. Therefore, for the non-extremal BTZ black hole, the BSW process is possible on the inner horizon with the fine tuning of parameters which are characterized by the motion of particle. While for the extremal BTZ black hole, the particle with the critical angular momentum could only exist on the degenerate horizon, and the BSW process could also happen there.