Exploring nonsupersymmetric black holes with multiple bubbles in five-dimensional minimal supergravity

The topological censorship theorem suggests that higher-dimensional black holes can possess a 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 biaxisymmetry. 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 <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msup><a:mi>S</a:mi><a:mn>3</a:mn></a:msup></a:math> or <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msup><c:mi>S</c:mi><c:mn>2</c:mn></c:msup><c:mo>×</c:mo><c:msup><c:mi>S</c:mi><c:mn>1</c:mn></c:msup></c:math> can be supported by two bubbles if we admit the conical singularities (deficits).