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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 Bardeen-de Sitter black hole and analyze its horizon structure and thermodynamical properties. Interestingly, in each spacetime dimension d, there exists a critical mass parameter =₄, which corresponds to an extremal black hole when Cauchy and event horizons coincide, which for >₄ describes a nonextremal black hole with two horizons and no black hole for (<) 0. The Hawking evaporation of black holes leads to a thermodynamically stable double-horizon black hole remnant with the vanishing temperature.
Ali et al. (Tue,) studied this question.