This exploration demonstrates the existence of black holes with unique topologies in five-dimensional minimal supergravity, highlighting implications for conical singularities.
The topological censorship theorem suggests that higher dimensional black holes can possess the domain of outer communication (DOC) of nontrivial topology. In this paper, we seek for a black hole coexisting with two bubbles adjacent to the horizon in five-dimensional minimal supergravity, under the assumptions of stationarity and bi-axisymmetry. For simplicity, we also assume that the spacetime is symmetric under the exchange of the two axisymmetric Killing vectors. To find the solution, we combine the inverse scattering method and the Harrison transformation, and we present the conditions for the absence of conical, orbifold and Dirac-Misner string singularities, respectively. As the result, we find that the black hole with topology of S³ or S²× S¹ can be supported by two bubbles if we admit the conical singularities (deficits).
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Suzuki et al. (2025) studied this question.
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