Thermodynamical properties of a noncommutative anti-de Sitter-Einstein-Born-Infeld spacetime from gauge theory of gravity

TL;DR

This paper investigates how noncommutative geometry influences the thermodynamics of a deformed anti-de Sitter-Einstein-Born-Infeld black hole, revealing that noncommutativity removes critical points in its thermodynamic behavior.

Contribution

It constructs a noncommutative version of the AdS-Einstein-Born-Infeld black hole and analyzes the impact of noncommutativity on its thermodynamics.

Findings

Noncommutativity modifies black hole thermodynamics.

Critical points are removed due to noncommutative effects.

Metric coefficients are computed up to second order in the noncommutative parameter.

Abstract

We construct a deformed adS-Einstein-Born-Infeld black hole from noncommutative gauge theory of gravity and determine the metric coefficients up to second order on the noncommutative parameter. We analyse the modifications on the thermodynamical properties of the black hole due to the noncommutative contributions, and we show that noncommutativity has as a direct consequence, the removal of critical points.