Black Holes in Double-Logarithmic Nonlinear Electrodynamics

TL;DR

This paper introduces new black hole solutions within a novel double-logarithmic nonlinear electrodynamics model coupled to Einstein gravity, analyzing their thermodynamics and stability.

Contribution

It presents the first electric and magnetic black hole solutions in double-logarithmic nonlinear electrodynamics coupled with Einstein gravity, including thermodynamic and stability analysis.

Findings

Solutions reduce to Reissner-Nordstrom black holes in weak field limit

Magnetic black hole thermodynamics are derived and analyzed

Heat capacity indicates stability regions

Abstract

The electric and magnetic black hole solutions are found by coupling the recently introduced nonlinear electrodynamics (NED) model, called "double logharitmic nonlinear electrodynamics" with cosmological Einstein gravity. The solutions become Reissner-Nordstrom (RN) black hole in the weak field limit and asymptotically. The electric solution is expressed as an integral equation while the magnetic black hole solution is expressed in terms of elementary functions. Hence, the thermodynamic structure of the magnetic black hole solution is analyzed by deriving the modified Smarr's formula and studying the first law of thermodynamics. Moreover, its stability is investigated by deriving the heat capacity.