Magnetic nonsingular black holes in lovelock gravity coupled to exponential electrodynamics

Abstract

The model of exponential electromagnetic field is coupled to Lovelock gravitational field in [Formula: see text]-dimensional spacetime geometry. In this context, new class of magnetically charged nonsingular or regular Lovelock black holes has been introduced. The asymptotic behavior of resulting metric function in the vicinity of [Formula: see text] is studied. The obtained asymptotic expressions in both even and odd critical dimensions show the finiteness and regularity of the solution at [Formula: see text]. The thermodynamic quantities such as Hawking temperature and specific heat capacity at constant magnetic charge corresponding to the nonsingular black hole are computed. The tunneling probability associated with Hawking radiations from these black holes is calculated as well.