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Moduli Spaces of transverse deformations of near-horizon geometries

Fontanella, Andrea and Gutowski, Jan (2017) Moduli Spaces of transverse deformations of near-horizon geometries Journal of Physics A: Mathematical and Theoretical, 50 (21), 215202.

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Abstract

We investigate deformations of extremal near-horizon geometries in Einstein- Maxwell-Dilaton theory, including various topological terms, and also in D=11 supergravity. By linearizing the field equations and Bianchi identities over the compact spatial cross-sections of the near-horizon geometry, we prove that the moduli associated with such deformations are constrained by elliptic systems of PDEs. The moduli space of deformations of near-horizon geometries in these theories is therefore shown to be finite dimensional.

Item Type: Article
Subjects : Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Fontanella, Andreaa.fontanella@surrey.ac.ukUNSPECIFIED
Gutowski, Janj.gutowski@surrey.ac.ukUNSPECIFIED
Date : 2 May 2017
Identification Number : 10.1088/1751-8121
Copyright Disclaimer : Copyright 2017 IOP Publishing
Uncontrolled Keywords : higher-dimensional black holes, supergravity, moduli spaces
Depositing User : Symplectic Elements
Date Deposited : 09 May 2017 16:05
Last Modified : 25 Jul 2017 14:57
URI: http://epubs.surrey.ac.uk/id/eprint/814137

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