Spacetime noncommutative effect on black hole as particle accelerators

TL;DR

This paper investigates how spacetime noncommutativity influences black holes' ability to accelerate particles to high energies, revealing limits on collision energies in extremal cases and dependencies on black hole mass.

Contribution

It introduces the effects of spacetime noncommutativity on black hole particle acceleration, highlighting conditions under which unbounded collision energies are achievable.

Findings

Zero-velocity particles cannot achieve unbounded collision energy in extremal noncommutative Kerr black holes.

Larger black hole mass correlates with higher collision energy.

Collision energy depends on black hole mass for small and medium noncommutative Schwarzschild black holes.

Abstract

We study the spacetime noncommutative effect on black hole as particle accelerators and, find that particle falling from infinity with zero velocity cannot collide with unbound energy when the noncommutative Kerr black hole is exactly extremal. Our results also show that the bigger of the spinning black hole's mass is, the higher of center of mass energy that the particles obtain. For small and medium noncommutative Schwarzschild black hole, the collision energy depends on the black holes' mass.