Moduli Spaces of transverse deformations of near-horizon geometries
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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 | |||||||||
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| Subjects : | Mathematics | |||||||||
| Divisions : | Faculty of Engineering and Physical Sciences > Mathematics | |||||||||
| Authors : |
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| Date : | 2 May 2017 | |||||||||
| DOI : | 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 : | 16 Jan 2019 17:14 | |||||||||
| URI: | http://epubs.surrey.ac.uk/id/eprint/814137 |
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