Einstein–Weyl spaces and near-horizon geometry
Accepted version
Peer-reviewed
Repository URI
Repository DOI
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
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
1361-6382
Volume Title
34
Publisher
IOP Publishing
Publisher DOI
Sponsorship
Science and Technology Facilities Council (ST/L000385/1)
Science and Technology Facilities Council (ST/P000681/1)
Science and Technology Facilities Council (ST/P000681/1)