Regular 3D Gauss-Bonnet black holes with finite electrodynamics

We construct a new class of charged regular black hole solutions, using the zero-point length effect, in the framework of three dimensional Gauss-Bonnet (GB) gravity which belongs to a scalar-tensor formulation of gravity. The gravitational and electromagnetic potentials as well as the spacetime geometry are finite and regular everywhere. We also explore thermodynamics of the obtained solutions and reveal that the entropy of the black hole decreases due to the stringy effects. We compute thermodynamic and conserved quantities and verify the validity of the first law of thermodynamics on the black hole horizon. Finally, the rotating solution is shortly reported.

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