Simple regular black hole with logarithmic entropy correction

Abstract

A simple regular black hole solution satisfying the weak energy condition is obtained within Einstein--non--linear electrodynamics theory. We have computed the thermodynamic properties of this black hole by a careful analysis of the horizons and we have found that the usual Bekenstein--Hawking entropy gets corrected by a logarithmic term. Therefore, in this sense our model realizes some quantum gravity predictions which add this kind of correction to the black hole entropy. In particular, we have established some similitudes between our model and a quadratic generalized uncertainty principle. This similitude has been confirmed by the existence of a remnant, which prevents complete evaporation, in agreement with the quadratic generalized uncertainty principle case.

References in corpus (6)

• Regular black holes with a nonlinear electrodynamics source
• Noncommutative geometry inspired charged black holes
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Asymptotic Reissner-Nordstrom black holes
• Semiclassical corrections to black hole entropy and the generalized uncertainty principle
• Effective geometries and generalized uncertainty principle corrections to the Bekenstein-Hawking entropy