Aspects of noncommutative (1+1)-dimensional black holes

TL;DR

This paper explores the structure and thermodynamics of noncommutative (1+1)-dimensional black holes, revealing diverse solutions and the resolution of singularities, with implications for black hole evaporation and remnants.

Contribution

It provides a comprehensive analysis of noncommutative (1+1)-dimensional black holes, showing a wider variety of solutions and singularity resolution compared to previous models.

Findings

Multiple horizon solutions depending on parameters

Singularity resolution via minimal length scale

Black hole remnants and complete evaporation scenarios

Abstract

We present a comprehensive analysis of the spacetime structure and thermodynamics of $(1+1)-$dimensional black holes in a noncommutative framework. It is shown that a wider variety of solutions are possible than the commutative case considered previously in the literature. As expected, the introduction of a minimal length $\sqrt{\theta}$ cures singularity pathologies that plague the standard two-dimensional general relativistic case, where the latter solution is recovered at large length scales. Depending on the choice of input parameters (black hole mass $M$, cosmological constant $\Lambda$, etc...), black hole solutions with zero, up to six, horizons are possible. The associated thermodynamics allows for the either complete evaporation, or the production of black hole remnants.