AdS to dS phase transition mediated by thermalon in Einstein-Gauss-Bonnet gravity from Renyi statistics

TL;DR

This paper investigates a novel AdS to dS phase transition in Einstein-Gauss-Bonnet gravity using Renyi statistics, highlighting the role of thermalon bubble nucleation in changing spacetime structure.

Contribution

It introduces the concept of a thermalon-mediated AdS to dS phase transition within Einstein-Gauss-Bonnet gravity using Renyi thermodynamics, which is a new approach.

Findings

Thermalon bubble nucleation can induce AdS to dS transition.

Thermodynamical quantities are computed using Renyi statistics.

Phase transition behaviors are analyzed within this framework.

Abstract

In this work, we present the possible existence of a thermalon phase transition between anti-de Sitter (AdS) to de Sitter (dS) vacua in Einstein-Gauss-Bonnet gravity by considering the R\'{e}nyi statistics. A thermalon changes the asymptotic structure of spacetimes via the bubble nucleation of spherical thin-shells which host a black hole in the interior. All relevant thermodynamical quantities are computed in terms of the Renyi statistics in order to demonstrate the possible existence of the AdS to dS phase transition. In addition, we also comment on the behaviors of the phase transitions in the Renyi statistics.