EinsteinMaxwellAntideSitter spinning solitons
Abstract
Electrostatics on global AntideSitter (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 nonvanishing total angular momentum J; (II) with vanishing J but nonzero angular momentum density, T_{φ}^{t}; (III) with vanishing J and T_{φ}^{t}. Considering backreaction, these configurations remain everywhere smooth and finite energy, and we find, for example, EinsteinMaxwellAdS 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 nonperturbatively, by constructing numerical solutions of the fully nonlinear EinsteinMaxwellAdS system. The variation of the energy and total angular momentum with the boundary data is explicitly exhibited for one example of a spinning soliton.
 Publication:

Physics Letters B
 Pub Date:
 June 2016
 DOI:
 10.1016/j.physletb.2016.04.004
 arXiv:
 arXiv:1602.06990
 Bibcode:
 2016PhLB..757..268H
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 15 pages, 3 figures