Moving mirrors and black hole evaporation in non-commutative space-times

TL;DR

This paper investigates how non-commutative space-times affect black hole evaporation by analyzing a moving mirror model, showing that non-commutativity accelerates black hole decay.

Contribution

It introduces a method to compute black hole evaporation corrections in non-commutative space-times using a moving mirror analogy, highlighting increased decay rates.

Findings

Non-commutativity increases black hole decay rate.

Derived correction to detector response function due to non-commutativity.

Quantified the effect of the noncommutativity parameter on evaporation.

Abstract

We study the evaporation of black holes in non-commutative space-times. We do this by calculating the correction to the detector's response function for a moving mirror in terms of the noncommutativity parameter $\Theta$ and then extracting the number density as modified by this parameter. We find that allowing space and time to be non-commutative increases the decay rate of a black hole.