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

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 Rényi 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.

v2: version accepted for publication in Nucl. Phys. B

References in corpus (11)

• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• The Lovelock Black Holes
• Higher order gravity theories and their black hole solutions
• Regular Multi-Horizon Black Holes in Modified Gravity with Non-Linear Electrodynamics
• Solid/Liquid Phase Transition and Heat Engine in Asymptotically Flat Schwarzschild Black Hole via the Rényi Extended Phase Space Approach
• Effective thermodynamical system of Schwarzschild-de Sitter black holes from Rényi statistics
• Renyi entropies of a black hole from Hawking radiation
• Holographic Entanglement Entropy in 2D Holographic Superconductor via $Ad{S}_3/CF{T}_2$
• Thermodynamics of Asymptotically de-Sitter Black Hole in dRGT Massive Gravity from Rényi entropy
• Thermodynamics of Black String from Rényi entropy in de Rham-Gabadadze-Tolley Massive Gravity Theory

Cited by in corpus (3)

• Rényi Holographic Dark Energy
• Riemann Surfaces and Winding Numbers of Rényi Phase Structure of Charged-Flat Black Holes
• Noether Charge, Thermodynamics and Phase Transition of a Black Hole in the Schwarzschild-Anti-de Sitter-Beltrami spacetime