Lovelock black holes with double-logarithmic electrodynamics source

Abstract

A recently proposed model for double-Logarithmic electrodynamics [25] has been coupled to Lovelock gravity and the nonlinearly magnetized black holes are investigated. In this set up, the Lovelock polynomial which generates magnetized topological Lovelock black hole solution has been constructed and the associated thermodynamical quantities such as mass, entropy, Hawking temperature and heat capacity are computed. The black hole solutions in Einstein and Gauss-Bonnet gravities are also derived in this context of double-Logarithmic electrodynamics and gravity. Each of the associated thermodynamical quantities have been plotted and the regions corresponding to thermal phase transitions and thermodynamical stability/instability are also pointed out.