2+1-dimensional electrically charged black holes in Einstein - Power Maxwell Theory

TL;DR

This paper derives new 2+1-dimensional black hole solutions in Einstein-Power-Maxwell gravity, analyzing their asymptotic behavior and thermodynamic stability, with implications for lower-dimensional gravity theories.

Contribution

It introduces a family of black hole solutions in Einstein-Power-Maxwell theory with detailed thermodynamic analysis and stability conditions.

Findings

Solutions are asymptotically flat for 1/2<k<1 and non-flat for k>1.

Thermodynamic quantities obey the first law of black hole thermodynamics.

Heat capacity analysis indicates local thermodynamic stability.

Abstract

A large family of new black hole solutions in 2+1-dimensional Einstein-Power-Maxwell (EPM) gravity with prescribed physical properties is derived. We show with particular examples that according to the power parameter k of the Maxwell field, the obtained solutions may be asymptotically flat for 1/2<k<1 or non-flat for k>1 in the vanishing cosmological constant limit. We study the thermodynamic properties of the solution with two different models and it is shown that thermodynamic quantities satisfy the first law. The behaviour of the heat capacity indicates that by employing the 1+1-dimensional dilaton analogy the local thermodynamic stability is satisfied.