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On the global structure of the Pomeransky-Senkov black holes. (English) Zbl 1243.83035

Summary: We construct analytic extensions of the Pomeransky-Senkov metrics with multiple Killing horizons and asymptotic regions. We show that, in our extensions, the singularities associated to an obstruction to differentiability of the metric lie beyond event horizons. We analyze the topology of the non-empty singular set, which turns out to be parameterdependent. The resulting global structure is somewhat reminiscent of that of Kerr space-time.

MSC:

83C57 Black holes
83C25 Approximation procedures, weak fields in general relativity and gravitational theory
83C40 Gravitational energy and conservation laws; groups of motions
83C75 Space-time singularities, cosmic censorship, etc.
53Z05 Applications of differential geometry to physics
54F65 Topological characterizations of particular spaces
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