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

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.

arXiv comment13 pages, typos corrected, main results and conclusion unchanged, reference and paragraph added

References in corpus (26)

• The Black Hole in Three Dimensional Space Time
• Massive Gravity in Three Dimensions
• Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
• Energy in Generic Higher Curvature Gravity Theories
• Galilean Conformal Algebras and AdS/CFT
• A New Cosmological Scenario in String Theory
• Holography of 3d Flat Cosmological Horizons
• On the new massive gravity and AdS/CFT
• Minimal Massive 3D Gravity
• New Energy Definition for Higher Curvature Gravities
• 3D Flat Holography: Entropy and Logarithmic Corrections
• Cosmic evolution from phase transition of 3-dimensional flat space
• On the Generalized Minimal Massive Gravity
• Exotic Massive 3D Gravity
• Enhanced Asymptotic Symmetry Algebra of 2+1 Dimensional Flat Space
• Near Horizon Symmetries of the Non-Extremal Black Hole Solutions of Generalized Minimal Massive Gravity
• Born-Infeld Gravity with a Massless Graviton in Four Dimensions
• Black hole conserved charges in Generalized Minimal Massive Gravity
• Exotic massive 3D gravities from truncation
• On asymptotic charges in 3D gravity
• Enhanced asymptotic $BM{S}_3$ algebra of the flat spacetime solutions of generalized minimal massive gravity
• General formulas for conserved charges and black hole entropy in Chern-Simons-like theories of gravity
• Energy of asymptotically AdS black holes in Exotic Massive Gravity and its log-extension
• More on vacua of exotic massive 3D gravity
• Exotic Massive Gravity: Causality and a Birkhoff-like Theorem
• Critical points of the Exotic Massive 3D Gravity

Cited by in corpus (1)

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