Phase Transition Between Flat Space Cosmology and Hot Flat Spacetimes in GMMG and EGMG Models

TL;DR

This paper investigates phase transitions between Flat Space Cosmology and Hot Flat Spacetimes within specific 3D gravity models, analyzing free energy comparisons and entropy corrections to understand tunneling phenomena.

Contribution

It introduces the study of phase transitions in FSC and HFS within GMMG and EGMG models, including entropy correction effects on the transition.

Findings

Tunneling occurs between FSC and HFS via free energy comparison.

Entropy corrections influence the phase transition dynamics.

Phase transition mechanisms are similar to those in topological massive gravity.

Abstract

Flat Space Cosmology (FSC) spacetimes are exact solutions of 3D gravity theories. In this work, we study phase transition between FSC spacetimes and Hot Flat Spacetimes (HFS) in general minimal massive gravity and exotic general massive gravity. We show that similar to topological massive gravity the tunneling occurs between two spacetimes by comparing their free energies. We also obtain the corrections to the Bekenstein-Hawking entropy, and its effect on the phase transition is studied.