Particle collisions around static spherically symmetric black hole and rotating black hole in gravity's rainbow

TL;DR

This paper investigates how gravity's rainbow modifies particle collision energies near black holes, showing that infinite collision energy can occur outside the event horizon depending on the rainbow functions used.

Contribution

It extends the Banados-Silk-West effect to gravity's rainbow black holes, analyzing the impact of different rainbow functions on collision energies outside the horizon.

Findings

Infinite center-of-mass energy achievable outside the horizon with specific rainbow functions

Rainbow functions significantly influence collision dynamics near black holes

Potential for unbounded particle energies outside the event horizon in gravity's rainbow

Abstract

We extend the Banados-Silk-West effect to the static spherically symmetric black hole and rotating black hole in gravity's rainbow. Through systematic investigation that the effects of different rainbow functions on the center-of-mass energy of two test particles colliding outside the event horizon, we discussed the possibility of infinite center-of-mass energy Ecm and the corresponding motion parameters. By employing rainbow functions g0=g1=(1-E/EP)-1, infinite Ecm can be achieved through collisions occurring outside the event horizon, rather than being confined solely to collisions near the event horizon.