Imposing null-translation and axisymmetry on the Kerr theorem yields exactly two vacuum solutions: a Bonnor-type pp-wave and planar Taub-NUT.
Nut Charged Space-times and Closed Timelike Curves on the Boundary
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abstract
We consider higher dimensional generalizations of the four dimensional topological Taub-NUT-AdS solutions, where the angular spheres are replaced by planes and hyperboloids. The thermodynamics of these configurations is discussed to some extent. The results we find suggest that the entropy/area relation is always violated in the presence of a NUT charge. We argue also that the conjectured AdS/CFT correspondence may teach us something about the physics in spacetimes containing closed timelike curves. To this aim, we use the observation that the boundary metric of a (D+1)-dimensional Taub-NUT-AdS solution provides a D-dimensional generalization of the known G\"odel-type spacetimes.
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Ultrarelativistic limit of the Kerr theorem
Imposing null-translation and axisymmetry on the Kerr theorem yields exactly two vacuum solutions: a Bonnor-type pp-wave and planar Taub-NUT.