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Title: Einstein-Maxwell-Anti-de-Sitter spinning solitons
Author: Herdeiro, Carlos
Radu, Eugen
Issue Date: Jun-2016
Publisher: Elsevier
Abstract: Electrostatics on global Anti-de-Sitter (AdS) spacetime is sharply different from that on global Minkowski spacetime. It admits a multipolar expansion with everywhere regular, finite energy solutions, for every multipole moment except the monopole [1]. A similar statement holds for global AdS magnetostatics. We show that everywhere regular, finite energy, electric plus magnetic fields exist on AdS in three distinct classes: (I) with non-vanishing total angular momentum J; (II) with vanishing J but non-zero angular momentum density, T-phi(t); (III) with vanishing J and T-phi(t). Considering backreaction, these configurations remain everywhere smooth and finite energy, and we find, for example, Einstein-Maxwell-AdS solitons that are globally - Type I - or locally (but not globally) - Type II - spinning. This backreaction is considered first perturbatively, using analytical methods and then non-perturbatively, by constructing numerical solutions of the fully non-linear Einstein-Maxwell-AdS system. The variation of the energy and total angular momentum with the boundary data is explicitly exhibited for one example of a spinning soliton. (C) 2016 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license ( Funded by SCOAP(3).
Peer review: yes
DOI: 10.1016/j.physletb.2016.04.004
ISSN: 0370-2693
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