The Upper Bound of Radiation Energy in the Myers-Perry Black Hole Collision

TL;DR

This paper derives the maximum possible radiation energy released during the head-on collision of two Myers-Perry black holes across various dimensions, considering spin interactions and initial conditions.

Contribution

It provides a thermodynamic upper bound on radiation energy in Myers-Perry black hole collisions, including effects of spin alignment and ultra-spinning scenarios.

Findings

Upper bound of radiation energy depends on spin alignment.

Collision may not occur for ultra-spinning black holes.

Bound is applicable in general dimensions.

Abstract

We have investigated the upper bound of the radiation energy in the head-on collision of two Myers-Perry black holes. Initially, the two black holes are far away from each other, and they become one black hole after the collision. We have obtained the upper bound of the radiation energy thermodynamically allowed in the process. The upper bound of the radiation energy is obtained in general dimensions. The radiation bound depends on the alignments of rotating axes for a given initial condition due to spin-spin interaction. We have found that the collision may not be occurred for a initially ultra-spinning black hole.