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Einstein–Weyl spaces and near-horizon geometry

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Dunajski, M 
Gutowski, J 
Sabra, W 

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 S1 X S2 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.

Description

Keywords

near Horizon, Einstein–Weyl, moduli space

Journal Title

Classical and Quantum Gravity

Conference Name

Journal ISSN

0264-9381
1361-6382

Volume Title

34

Publisher

IOP Publishing
Sponsorship
Science and Technology Facilities Council (ST/L000385/1)
Science and Technology Facilities Council (ST/P000681/1)