Three dimensional charged black holes in Gauss-Bonnet gravity

Abstract

By using the zero-point length effect, we construct a new class of charged black hole solutions in the framework of three dimensional Gauss-Bonnet (GB) gravity with Maxwell electrodynamics. The gravitational and electromagnetic potentials are finite and regular everywhere, however, the computation of scalar curvature invariants suggest the presence of a singularity at the origin. We also explore thermodynamics of the obtained solutions and reveal that the entropy of the black hole decreases due to the stringy effects. The thermodynamic and conserved quantities are computed and also the validity of the first law of thermodynamics on the black hole horizon is verified. Finally, the spinning black hole solution is also reported.