Exact d dimensional Bardeende Sitter black holes and thermodynamics
Abstract
The Bardeen metric is the first spherically symmetric regular black hole solution of Einstein's equations coupled to nonlinear electrodynamics, which has an additional parameter (e ) due to nonlinear charge apart from mass (M ). We find a d dimensional Bardeende Sitter black hole and analyze its horizon structure and thermodynamical properties. Interestingly, in each spacetime dimension d , there exists a critical mass parameter μ =μ_{E}, which corresponds to an extremal black hole when Cauchy and event horizons coincide, which for μ >μ_{E} describes a nonextremal black hole with two horizons and no black hole for μ <μ_{E}. We also find that the extremal value μ_{E} is influenced by the spacetime dimension d . Owing to the nonlinear charge corrected metric, the thermodynamic quantities of the black holes also get modified and a HawkingPagelike phase transition exists. The phase transition is characterized by a divergence of the heat capacity at a critical radius r_{+}=r_{+C}, with the stable (unstable) branch for C_{e}>(<)0 . The Hawking evaporation of black holes leads to a thermodynamically stable doublehorizon black hole remnant with the vanishing temperature.
 Publication:

Physical Review D
 Pub Date:
 October 2018
 DOI:
 10.1103/PhysRevD.98.084025
 Bibcode:
 2018PhRvD..98h4025A