Four dimensional Einstein-power-Maxwell black hole solutions in scale-dependent gravity

TL;DR

This paper develops four-dimensional black hole solutions within scale-dependent Einstein-power-Maxwell gravity, analyzing their thermodynamics and quantum corrections, and comparing these to classical solutions to understand deviations caused by scale dependence.

Contribution

It introduces new analytical black hole solutions in scale-dependent Einstein-power-Maxwell gravity and explores their thermodynamic and quantum correction properties.

Findings

Thermodynamic quantities deviate from classical solutions due to scale dependence.

Analytical solutions are obtained using the null energy condition.

Quantum corrections influence black hole characteristics and thermodynamics.

Abstract

In the present work, we extend and generalize our previous work regarding the scale dependence applied to black holes in the presence of non-linear electrodynamics [1]. The starting point for this study is the Einstein-power-Maxwell theory with a vanishing cosmological constant in (3+1) dimensions, assuming a scale dependence of both the gravitational and the electromagnetic coupling. We further examine the corresponding thermodynamic properties and how these quantities experience deviations from their classical counterparts. We solve the effective Einstein's field equations using the "null energy condition" to obtain analytical solutions. The implications of quantum corrections are also briefly discussed. Finally, we analyze our solutions and compare them to related results in the literature.