Bubbles Unbound II: AdS and the Single Bubble

Abstract

I present further analytic time symmetric initial data for five dimensions describing ``bubbles of nothing'' which have no Kaluza-Klein circle asymptotically. The new solutions consist of a large family of single bubbles in both asymptotically flat and asymptotically AdS space. I also numerically construct gravitational solitons in AdS where the usual boundary conditions are modified geometrically but not topologically. Furthermore I point out there are both regular AdS bubbles and topologically trivial metrics in asymptotically global AdS dual to matter which violates all the usual energy conditions, both classical and quantum. I inquire as to the existence of a dual gravitational instability.

42 pages, 11 figures, v2: minor improvements, v3: added references, enhanced soliton discussion, typos corrected, published version

References in corpus (7)

• Comparison between various notions of conserved charges in asymptotically AdS-spacetimes
• Charged Kerr-de Sitter Black Holes in Five Dimensions
• Sequences of Bubbles and Holes: New Phases of Kaluza-Klein Black Holes
• Soliton Solutions to the Einstein Equations in Five Dimensions
• Gravity Dual of Gauge Theory on S^2 x S^1 x R
• Eguchi-Hanson Solitons in Odd Dimensions
• Non-supersymmetric asymptotically AdS_5 x S^5 smooth geometries

Cited by in corpus (8)

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• Solitons in Five Dimensional Minimal Supergravity: Local Charge, Exotic Ergoregions, and Violations of the BPS Bound
• Five-Dimensional Eguchi-Hanson Solitons in Einstein-Gauss-Bonnet Gravity
• States of Negative Energy and $Ad{S}_5\times S_5/Z_k$
• Phase Transitions Between Solitons and Black Holes in Asymptotically AdS/$Z_k$ Spaces
• A Soliton and a Black Hole are in Gauss-Bonnet gravity. Who wins?
• New instabilities of de Sitter spacetimes
• Initial data for a black string and a Kaluza-Klein bubble: Space-dependent compactification radius