Thermalon mediated AdS to dS phase transitions in Einstein-Gauss-Bonnet-massive gravity

Abstract

In this work, gravitational phase transition emerging from anti de-Sitter (AdS) to de-Sitter (dS) vacua in Einstein-Gauss-Bonnet-massive gravity (EGBMG) is considered. We determine the location of thermalon (a static bubble solution in Euclidean space) which exists in casually connected two regions of the spacetime. The thermalon plays a major role in gravitational phase transition by inducing the decay of the negative effective cosmological constant to the positive one due to the higher-order gravity effects. The thermodynamics phase space of the Hawking temperature and free energy is investigated in details. We find that the free energy of the thermalon is always negative at the maximum of Hawking temperature for all possible values of the Gauss-Bonnet couplings. This means that the phase transition mediated by thermalon from AdS to dS asymptotics is inevitable according to the presence of the massive gravity. More importantly, the parameters of the massive gravity behave similarly to the order parameters in the phase transition instead of the Gauss-Bonnet coupling.

20 pages, 6 figures

References in corpus (11)

• Resummation of Massive Gravity
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
• Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality
• Bimetric gravity is cosmologically viable
• Physics of String Flux Compactifications
• `Mass without mass' from thin shells in Gauss-Bonnet gravity
• Gravitational solitons and $C^0$ vacuum metrics in five-dimensional Lovelock gravity
• Charged scalar perturbations on charged black holes in dRGT massive gravity
• Cosmological perturbations in Gauss-Bonnet quasi-dilaton massive gravity