Charged False Vacuum Bubbles and the AdS/CFT Correspondence

TL;DR

This paper explores cosmological models involving charged false vacuum bubbles within the AdS/CFT framework, analyzing their classical dynamics, potential singularities, and the possibility of creating inflating universes in a controlled setting.

Contribution

It introduces a novel analysis of charged domain walls in AdS spacetime and proposes a method to resolve singularities using AdS/CFT, enabling the construction of inflating universes from smooth initial data.

Findings

AdS/CFT provides a prescription to resolve curvature singularities.

Solutions with inflating interiors can be patched onto smooth initial data.

Classical analysis reveals complex spacetime diagrams with singularities and horizons.

Abstract

We initiate a study of cosmology within the framework of Maldacena's AdS/CFT correspondence. We present a comprehensive analysis of the classical motion of a charged domain wall that separates an external Reissner-Nordstrom region of spacetime (with small or vanishing cosmological constant) from an internal de-Sitter region. The possible associated spacetime diagrams are drawn, although in the classical case, an unambiguous prediction of what occurs at late times in the interior region is not possible, since singularities and Cauchy horizons form. We argue that, when the asymptotic region is anti-de Sitter, the AdS/CFT correspondence gives a prescription for resolving the curvature singularities and evolving solutions across the expected Cauchy horizon. Some of our solutions contain inflating interiors, and we provide evidence these can be patched onto solutions with smooth initial data, circumventing an obstacle found by Farhi and Guth to creating an inflating universe in the laboratory.