Rotating five-dimensional electrically charged Bardeen regular black holes

Abstract

We derive a rotating counterpart of the five-dimensional electrically charged Bardeen regular black holes spacetime by employing the Giampieri algorithm on static one. The associated nonlinear electrodynamics source is computed in order to justify the rotating solution. We thoroughly discuss the energy conditions and the other properties of the rotating spacetime. The black hole thermodynamics of the rotating spacetime is also presented. In particular, the thermodynamic quantities such as the Hawking temperature and the heat capacity are calculated and plotted to see the thermal behavior. The Hawking temperature profile of the black hole implies that the regular black holes are thermally colder than its singular counterpart. On the other hand, we find that the heat capacity has two branches: the negative branch corresponds to the unstable phase and the positive branch corresponds to that of the stable phase for a suitable choice of the physical parameters characterizing the black holes.

24 pages, 8 figures, accepted for publication in CQG

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• Estimating the cosmological constant from shadows of Kerr--de Sitter black holes
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• Regular Rotating Black Holes: A Review
• The generalized holographic $c$-function for regular AdS black holes
• Greybody factor for an electrically charged regular-de Sitter black holes in $d$-dimensions
• Regular Black Holes: Entropy Products and Central Charges
• Localized five-dimensional rotating brane-world black hole Analytically Connected to an to an AdS${}_5$ boundary