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