Efficiency of Higher Dimensional Black Holes as Particle Accelerators

TL;DR

This paper examines how higher-dimensional black holes, specifically in four and six dimensions, can serve as highly efficient particle accelerators, with efficiency increasing as the number of dimensions grows.

Contribution

It provides a comparative analysis of collision efficiencies near extremal Myers-Perry black holes in different dimensions, highlighting increased efficiency in higher dimensions.

Findings

Collision efficiency in 4D Kerr black holes is 130%.

Efficiency increases to 145% in 6D black holes.

Higher dimensions expand the angular region for high-energy particle reach.

Abstract

The center-of-mass energy of two colliding particles could be arbitrarily high in the vicinity of event horizons of the extremal Myers-Perry black holes if the angular momentum of colliding particles is fine-tuned to the critical values. We investigate the maximum efficiency of two colliding particles in four and six dimensions. The efficiency of collision for two particles near the four-dimensional Kerr black holes is 130 %. We show that the efficiency increases to 145 % for collision in six dimensions. We also show that the region for the polar angle in which the particle can reach the high energy is larger when the dimension of space-time increases.