Essentially all known analytical exact single black hole solutions in four-dimensional Einstein-Maxwell theory belong to the accelerating Kerr-Newman-NUT family placed in backgrounds that are subcases of the conjugated Kerr-Newman-NUT spacetime with arbitrary angular topology.
Supersymmetry of topological Kerr-Newman-Taub-NUT- AdS space-times
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abstract
We extend the topological Kerr-Newman-aDS solutions by including NUT charge and find generalizations of the Robinson-Bertotti solution to the negative cosmological constant case with different topologies. We show how all these solutions can be obtained as limits of the general Plebanski-Demianski solution. We study the supersymmetry properties of all these solutions in the context of gauged N=2,d=4 supergravity. Generically they preserve at most 1/4 of the total supersymmetry. In the Plebanski-Demianski case, although gauged N=2,d=4 supergravity does not have electric-magnetic duality, we find that the family of supersymmetric solutions still enjoys a sort of electric-magnetic duality in which electric and magnetic charges and mass and Taub-NUT charge are rotated simultaneously.
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The static Reissner-Nordström black hole embedded in Bertotti-Robinson (AdS₂ × S²) is supersymmetric in N=2 D=4 supergravity, saturates the BPS bound, and yields mass and thermodynamic relations with a cosmological-constant generalization.
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Black holes in rotating, electromagnetic backgrounds and topological Kerr-Newman-NUT spacetimes
Essentially all known analytical exact single black hole solutions in four-dimensional Einstein-Maxwell theory belong to the accelerating Kerr-Newman-NUT family placed in backgrounds that are subcases of the conjugated Kerr-Newman-NUT spacetime with arbitrary angular topology.
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Supersymmetry of the static Reissner-Nordstr\"om black hole in Bertotti-Robinson ($\mathrm{AdS}_2 \times \mathbb{S}^2$)
The static Reissner-Nordström black hole embedded in Bertotti-Robinson (AdS₂ × S²) is supersymmetric in N=2 D=4 supergravity, saturates the BPS bound, and yields mass and thermodynamic relations with a cosmological-constant generalization.