Regular black hole in three dimensions

TL;DR

This paper introduces a new regular black hole solution in three-dimensional anti-de Sitter space, inspired by noncommutative geometry, and compares its thermodynamics with the BTZ black hole, revealing inconsistencies with standard entropy.

Contribution

It presents a novel regular black hole model in three dimensions with anisotropic fluid, expanding the understanding of black hole solutions and thermodynamics in lower dimensions.

Findings

The black hole has two horizons and is regular.

Thermodynamics differs from the BTZ black hole, especially in entropy.

First law of thermodynamics is incompatible with Bekenstein-Hawking entropy.

Abstract

We find a new black hole in three dimensional anti-de Sitter space by introducing an anisotropic perfect fluid inspired by the noncommutative black hole. This is a regular black hole with two horizons. We compare thermodynamics of this black hole with that of non-rotating BTZ black hole. The first-law of thermodynamics is not compatible with the Bekenstein-Hawking entropy.