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Einstein–Weyl spaces and near-horizon geometry

dc.creatorDunajski, Maciej Lukasz
dc.creatorGutowski, J
dc.creatorSabra, W
dc.description.abstractWe show that a class of solutions of minimal supergravity in five dimensions is given by lifts of three-dimensional Einstein–Weyl structures of hyper-CR type. We characterise this class as most general near-horizon limits of supersymmetric solutions to the five-dimensional theory. In particular we deduce that a compact spatial section of a horizon can only be a Berger sphere, a product metric on $\textit{S}$$^\textit{1}$ X $\textit{S}$$^\textit{2}$ or a flat three-torus. We then consider the problem of reconstructing all supersymmetric solutions from a given near-horizon geometry. By exploiting the ellipticity of the linearised field equations we demonstrate that the moduli space of transverse infinitesimal deformations of a near-horizon geometry is finite-dimensional.
dc.publisherIOP Publishing
dc.publisherClassical and Quantum Gravity
dc.subjectnear Horizon
dc.subjectmoduli space
dc.titleEinstein–Weyl spaces and near-horizon geometry

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