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.
Charging axisymmetric space-times with cosmological constant
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abstract
Ernst's solution generating technique for adding electromagnetic charge to axisymmetric space-times in general relativity is generalised in presence of the cosmological constant. Ernst equations for complex potentials are found and they are traced back to an affective dual complex dynamical system, whose symmetries are studied. In particular this method is able to generate charged, asymptotically (A)dS black holes from their uncharged version: as an example, it is shown explicitly how to pass from the Kerr-(A)dS to the Kerr-Newman-(A)dS metric. A new solution describing a magnetic universe in presence of the cosmological constant is also generated.
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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.
- Thermodynamics of homogeneous Universes: de Sitter, Bonnor-Melvin and static Einstein
- Bound states and deconfinement from Romans supergravity with magnetic flux