Gravitational phase transition mediated by thermalon in Einstein-Gauss-Bonnet-Maxwell-Kalb-Ramond gravity

Abstract

In this work, we study the possible existence of gravitational phase transition from AdS to dS asymptotic geometries in Einstein-Gauss-Bonnet gravity by adding the Maxwell one-form field (A µ) and the Kalb-Ramond two-form field (B µν) as impurity substitutions. The phase transitions proceed via the bubble nucleation of spherical thin-shells described by different branches of the solutions which host a dS black hole in the interior and asymptotic thermal AdS state in the exterior. We analyze the phase diagrams of the free energy and temperature to demonstrate the existence of the phase transitions in the grand canonical ensemble (fixed electrical potential). The phase transitions of having the one-form and two-form charges are possible in which the critical temperature is lower than that of the neutral case. Comparing results with existing literature, more importantly, our analyses show that the critical temperature and the Gauss-Bonnet coupling λ of the phase transitions get decreased by adding more types of the charges.

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

“…As a result, we find that thermalon always produces the AdS to dS phase transition since all Gibbs free energies of the thermalon are negative at their maximum temperature for all possible values of the given Gauss-Bonnet coupling, λ. This is an interesting result in this work because usually, the Gauss-Bonnet coupling, λ plays the role as the order parameter of the AdS to dS phase transition in both without [49,50] and with the presences of the gauge fields [51,52]. Our results suggest that with a proper value of γ a,b,c , the gravitational phase transition from AdS to dS is inevitable.…”

“…Here m 0 is integration constant which can be interpreted as black hole's mass. If we set graviton mass to zero, m = 0, this solution can be compared with those found in [49][50][51][52].…”

“…Phase transition of charged black hole in Gauss-Bonnet-massive gravity coupled with Yang-Mills field is investigated in [48]. Moreover, the Gauss-Bonnet gravity in five dimension is employed to study the thermalon mediated AdS to dS phase transition in various aspects, e.g., study the critical point of the phase transition in the vacuum solution [49], phase transition in black hole chemistry picture [50] and inclusions of Maxwell [51] and Kalb-Ramond [52] fields.…”

Generalized Gravitational Phase Transition in Novel 4D Einstein–Gauss–Bonnet Gravity

“…[17,19] for the neutral case in general d dimensions and in refs. [67,68] for the charged case in 5D. The mass parameters,  ± , are solved in terms of a ⋆ (location of the thermalon), g ⋆ ± ≡ g ± (a ⋆ ), 𝜆 4 , and L in the d → 4 limit by using the condition, V(a ⋆ ) = 0 = V ′ (a ⋆ ), as (Figure 1)…”

“…Thus far, studies on a gravitational AdS to dS phase transition mediated by a thermalon have been conducted in various scenarios. [15][16][17][18][19][20]67,68] However, these existing studies were considered in the vacuum solution of the EGB gravity. As mentioned in ref.…”