Coleman de Luccia geometry reconsidered and ADS/CFT

TL;DR

This paper revisits the Coleman de Luccia geometry involving an AdS4 bubble in a false vacuum, establishing bounds on the bubble's radius, tension relations, and discussing implications for the ADS/CFT correspondence.

Contribution

It provides a refined analysis of the Coleman de Luccia solution with new bounds and conditions, enhancing understanding of bubble dynamics and their holographic interpretation.

Findings

Derived an upper bound for the AdS4 bubble radius.

Established a relation between domain wall tension and scalar potential minimum.

Discussed the implications for ADS/CFT correspondence.

Abstract

We reconsidered the Coleman de Luccia solution building an AdS4 bubble expanding into a false flat vacuum. In this construction when junction conditions are imposed we find an upper bound to the radius of the AdS4 and a domain wall whose tension is a function of the minimum of the scalar potential. We prove that this solution is exactly the solution found by Coleman and de Luccia, but in addition there is a new condition that restricts the AdS4 radius and a precise relation between the tension and the minimum of the scalar potential. The applicability of the ADS/CFT correspondence is discussed.