Scale-dependent (2+1) - dimensional electrically charged black holes in Einstein-power-Maxwell theory

TL;DR

This paper explores how scale-dependent couplings influence the properties of (2+1)-dimensional charged black holes in Einstein-power-Maxwell theory, providing analytical solutions and discussing quantum correction implications.

Contribution

It extends previous work by deriving analytical solutions for scale-dependent black holes in Einstein-power-Maxwell theory in (2+1) dimensions, considering both gravitational and electromagnetic couplings.

Findings

Scale dependence alters horizon and thermodynamic properties.

Analytical solutions are obtained under null energy condition.

Quantum corrections are briefly discussed.

Abstract

In this work we extend and generalize our previous work on the scale dependence at the level of the effective action of black holes in the presence of non-linear electrodynamics. In particular, we consider the Einstein-power-Maxwell theory without a cosmological constant in (2+1) dimensions, assuming a scale dependence of both the gravitational and the electromagnetic coupling and we investigate in detail how the scale--dependent scenario affects the horizon and thermodynamic properties of the classical black holes for any value of the power parameter. In addition, we solve the corresponding effective field equations imposing the "null energy condition" in order to obtain analytical solutions. The implications of quantum corrections are also briefly discussed.