Bubbles Unbound II: AdS and the Single Bubble

TL;DR

This paper introduces new analytic and numerical solutions for bubbles of nothing in five-dimensional spaces, exploring their properties in asymptotically flat and AdS contexts, and discusses potential dual gravitational instabilities.

Contribution

It provides a large family of new bubble solutions in five dimensions, including both analytic and numerical constructions, and examines their implications for AdS/CFT duality and stability.

Findings

New analytic single bubble solutions in five dimensions.

Numerical construction of gravitational solitons in AdS with modified boundary conditions.

Existence of regular AdS bubbles and topologically trivial metrics violating energy conditions.

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.