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Einstein-Weyl spaces and near-horizon geometry

Dunajski, M, Gutowski, Jan and Sabra, W (2017) Einstein-Weyl spaces and near-horizon geometry Classical and Quantum Gravity, 34 (4).

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We show that a class of solutions of minimal supergravity in ve 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 ve{ dimensional theory. In particular we deduce that a compact spatial section of a horizon can only be a Berger sphere, a product metric on S1 S2 or a at 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 eld equations we demonstrate that the moduli space of transverse in nitesimal deformations of a near{ horizon geometry is nite{dimensional.

Item Type: Article
Subjects : Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Dunajski, M
Sabra, W
Date : 2 February 2017
DOI : 10.1088/1361-6382/aa5992
Copyright Disclaimer : Copyright 2016 IOP Publishing
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 Mar 2017 17:12
Last Modified : 16 Jan 2019 17:13

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