Thermodynamics of an Evaporating Schwarzschild Black Hole in Noncommutative Space

TL;DR

This paper explores how space noncommutativity and the generalized uncertainty principle influence Schwarzschild black hole thermodynamics, revealing a maximum temperature and nonsingular remnant, and compares these effects with string theory predictions.

Contribution

It introduces a combined analysis of noncommutative space and GUP effects on black hole evaporation, highlighting their similarities and impact on thermodynamic behavior.

Findings

Black hole reaches a maximum temperature during evaporation.

Black hole leaves behind a nonsingular zero-temperature remnant.

Results align with certain aspects of string theory predictions.

Abstract

We investigate the effects of space noncommutativity and the generalized uncertainty principle on the thermodynamics of a radiating Schwarzschild black hole. We show that evaporation process is in such a way that black hole reaches to a maximum temperature before its final stage of evolution and then cools down to a nonsingular remnant with zero temperature and entropy. We compare our results with more reliable results of string theory. This comparison Shows that GUP and space noncommutativity are similar concepts at least from view point of black hole thermodynamics.