On primordial universe in anti-de Sitter landscape

TL;DR

This paper uses (3+1)D numerical relativity simulations to explore how inhomogeneous universes evolve in an anti-de Sitter landscape, revealing bubble and tube structures with inflationary walls and collapsing regions.

Contribution

It presents the first detailed numerical relativity study of non-perturbative spacetime evolution in an AdS landscape with inhomogeneities.

Findings

Large inhomogeneity leads to bubble and tube structures.

Walls of these structures can inflate as quasi-dS space.

Different regions in the landscape collapse towards singularity.

Abstract

How the spacetime evolved non-perturbatively in a landscape with multiple anti-de Sitter (AdS) vacua, which is theoretically well-motivated, has always been a matter of concern. As a step towards this issue, we perform (3+1)D numerical relativity simulations for the inhomogeneous universe in an AdS landscape, and find that large inhomogeneity of scalar field can develop into not only sphere-like bubbles, but also novel tube-like structures. It is observed that the bubble or tube wall (across the potential barrier) likely inflates as a quasi-dS space, while the different regions separated by the walls are in different AdS vacua and will collapse towards singularity.