Nuttier Bubbles

TL;DR

This paper constructs new explicit solutions in general relativity using double analytic continuations of Taub-NUT spacetimes, revealing novel bubble solutions with unique topologies and boundary structures, and explores their dual field theory implications.

Contribution

It introduces new bubble solutions in higher dimensions derived from Taub-NUT spacetimes, including solutions with unique boundary structures and non-trivial topologies.

Findings

Found a 5D asymptotically AdS bubble with $AdS_3\times S^1$ boundary.

Discovered 6D bubble solutions with only one timelike dimension.

Developed methods to generate new solutions using Hopf duality.

Abstract

We construct new explicit solutions of general relativity from double analytic continuations of Taub-NUT spacetimes. This generalizes previous studies of 4-dimensional nutty bubbles. One 5-dimensional locally asymptotically AdS solution in particular has a special conformal boundary structure of $AdS_3\times S^1$. We compute its boundary stress tensor and relate it to the properties of the dual field theory. Interestingly enough, we also find consistent 6-dimensional bubble solutions that have only one timelike direction. The existence of such spacetimes with non-trivial topology is closely related to the existence of the Taub-NUT(-AdS) solutions with more than one NUT charge. Finally, we begin an investigation of generating new solutions from Taub-NUT spacetimes and nuttier bubbles. Using the so-called Hopf duality, we provide new explicit time-dependent backgrounds in six dimensions.