Thermodynamics of 2+1 dimensional Coulomb-Like Black Holes from Non Linear Electrodynamics with a traceless energy momentum tensor

TL;DR

This paper explores the thermodynamics of 2+1-dimensional Coulomb-like black holes influenced by nonlinear electrodynamics, analyzing their thermodynamic geometry and potential as heat engines.

Contribution

It introduces a comprehensive thermodynamic analysis including geometric methods and the concept of black hole heat engines for these specific black holes.

Findings

Thermodynamic geometry aligns with standard thermodynamic descriptions.

Cosmological constant as an extensive variable affects thermodynamic behavior.

Black holes can theoretically function as heat engines.

Abstract

In this work we study thermodynamics of 2+1-dimensional static black holes with a nonlinear electric field. Besides employing the standard thermodynamic approach, we investigate the black hole thermodynamics by studying its thermodynamic geometry. We compute the Weinhold and Ruppeiner metrics and compare the thermodynamic geometry with the standard description on the black hole thermodynamics. We further consider the cosmological constant as an additional extensive thermodynamic variable. In the thermodynamic equilibrium three dimensional space, we compute the efficiency of the heat engine and show that it is possible to be built with this black hole.