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Hair in the back of a throat: non-supersymmetric multi-center solutions from Kähler manifolds. (English) Zbl 1303.81148

Summary: We find a class of non-supersymmetric multi-center solutions of the STU model of five-dimensional ungauged supergravity. The solutions are determined by a system of linear equations defined on a four-dimensional Kähler manifold with vanishing Ricci scalar and a U(1) isometry. The most general class of such Kähler manifolds was studied by LeBrun and they have non-trivial 2-cycles that can support the topological fluxes characteristic of bubbled geometries. After imposing an additional U(1) symmetry on the base we find explicit multi-center supergravity solutions. We show that there is an infinite number of regular multi-center solutions with non-trivial topology that are asymptotic to the near-horizon limit of a BMPV black hole.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
83E30 String and superstring theories in gravitational theory
83E15 Kaluza-Klein and other higher-dimensional theories
83E50 Supergravity
83C57 Black holes
83C45 Quantization of the gravitational field
32Q15 Kähler manifolds
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
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