Einstein-Maxwell-Anti-de-Sitter spinning solitons

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 (arXiv:1507.04370). 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.

15 pages, 3 figures

References in corpus (5)

• Proca Stars: gravitating Bose-Einstein condensates of massive spin 1 particles
• Stationary ring solitons in field theory - knots and vortons
• Charging axisymmetric space-times with cosmological constant
• Anti-de-Sitter regular electric multipoles: towards Einstein-Maxwell-AdS solitons
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Cited by in corpus (9)

• Gravitational geons in asymptotically anti-de Sitter spacetimes
• Asymptotically anti-de Sitter Proca Stars
• Static Einstein-Maxwell black holes with no spatial isometries in AdS space
• Geometric polarization of plasmas and Love numbers of AdS black branes
• Anti-de Sitter geon families
• Squashed, magnetized black holes in $D=5$ minimal gauged supergravity
• Static Einstein-Maxwell Magnetic Solitons and Black Holes in an Odd Dimensional AdS Spacetime
• AdS${}_5$ magnetized solutions in minimal gauged supergravity
• Gravitational systems in asymptotically anti-de Sitter space-times