On AdS to dS transitions in higher-curvature gravity

TL;DR

This paper investigates gravitational phase transitions from Anti-de Sitter to de Sitter geometries in higher-curvature gravity theories, demonstrating a bubble nucleation process that occurs at a critical temperature in Lanczos-Gauss-Bonnet gravity.

Contribution

It shows that AdS to dS phase transitions via bubble nucleation can occur in higher-curvature gravity theories, extending the understanding of gravitational phase transitions.

Findings

Phase transition from AdS to dS occurs at a critical temperature.

Bubble nucleation drives the transition to a dS black hole.

Phenomenon likely generalizes to other higher-curvature theories.

Abstract

We study the possible existence of gravitational phase transitions from AdS to dS geometries in the context of higher-curvature gravities. We use Lanczos-Gauss-Bonnet (LGB) theory with a positive cosmological constant as a toy model. This theory has two maximally symmetric vacua with positive (dS) and negative (AdS) constant curvature. We show that a phase transition from the AdS vacuum to a dS black hole geometry takes place when the temperature reaches a critical value. The transition is produced by nucleation of bubbles of the new phase that expand afterwards. We claim that this phenomenon is not particular to the model under study, and shall also be part of generic gravitational theories with higher-curvature terms.