Einstein–Weyl spaces and near-horizon geometry
dc.creator | Dunajski, Maciej Lukasz | |
dc.creator | Gutowski, J | |
dc.creator | Sabra, W | |
dc.date.accessioned | 2017-01-16 | |
dc.date.accessioned | 2018-11-24T23:19:42Z | |
dc.date.available | 2017-03-29T16:21:14Z | |
dc.date.available | 2018-11-24T23:19:42Z | |
dc.date.issued | 2017-02-02 | |
dc.identifier | https://www.repository.cam.ac.uk/handle/1810/263334 | |
dc.identifier.uri | http://repository.aust.edu.ng/xmlui/handle/123456789/3498 | |
dc.description.abstract | We 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.language | en | |
dc.publisher | IOP Publishing | |
dc.publisher | Classical and Quantum Gravity | |
dc.subject | near Horizon | |
dc.subject | Einstein–Weyl | |
dc.subject | moduli space | |
dc.title | Einstein–Weyl spaces and near-horizon geometry | |
dc.type | Article |
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