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

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.

12 pages,3 figures

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• Effect of the self-gravity of shells on a high energy collision in a rotating Bañados-Teitelboim-Zanelli spacetime
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• Motion and collision of particles near DST Black holes
• Charged dilaton black hole in 2+1 dimensions as a particle accelerator
• Particle Collision near 1+1- Dimensional Horava-Lifshitz Black Hole and Naked Singularity