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

Thermalon mediated phase transitions in Gauss-Bonnet gravity

Thermalons can mediate phase transitions between different vacua in higher curvature gravity, potentially changing the asymptotic structure of the spacetime. Treating the cosmological constant as a dynamical parameter, we study these phase transitions in the context of extended thermodynamic phase space. We find that in addition to the AdS to dS phase transitions previously studied, thermal AdS space can undergo a phase transition to an asymptotically flat black hole geometry. In the context of AdS to AdS transitions, we comment on the similarities and differences between thermalon transitions…

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

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 tr…

Generalized gravitational phase transition in novel 4D Einstein-Gauss-Bonnet gravity

In this work, we present the possible existence of thermal phase transition between AdS to dS asymptotic geometries in vacuum in the context of novel 4D Einstein-Gauss-Bonnet (EGB) gravity. The phase transition proceeds through the thermalon (the Euclidean sector of the bubble thin-shell) formation having a black hole inside the interior of dS spacetime and a thermal AdS spacetime in the exterior without introducing any matter field. According to our analysis, we find that the gravitational phase transitions using novel 4D EGB gravity always take place for all existences of the 4D EGB coupling…

Charged Rényi Entropies in CFTs with Einstein-Gauss-Bonnet Holographic Duals

We calculate the Rényi entropy $S_q(μ,λ)$, for a spherical entangling surface in CFT's with Einstein-Gauss-Bonnet-Maxwell holographic duals. Rényi entropies must obey some interesting inequalities by definition. However, for Gauss-Bonnet couplings $λ$, larger than a specific value, but still allowed by causality, we observe a violation of the inequality $\frac{\partial}{\partial q}\left({\frac{q - 1}{q}S_q(μ,λ)} \right) \ge 0$, which is related to the existence of negative entropy black holes, providing interesting restrictions in the bulk theory. Moreover, we find an interesting distinction o…

平坦4D爱因斯坦-高斯-博内黑洞的Rényi熵热力学：一种类RPST形式

Thermodynamics of Flat 4D Einstein-Gauss-Bonnet Black Hole with Rényi Entropy: An RPST-like formalism

本研究利用Rényi熵在4D-EGB引力中构建渐近平坦黑洞的类RPST热力学，发现范德瓦尔斯相变及与AdS黑洞的对偶性，表明非广延熵可桥接平坦时空与全息热力学。

Holographic Renyi Entropies and Restrictions on Higher Derivative Terms

We perform a holographic calculation of the Entanglement Rényi entropy $S_q(μ,λ)$, for spherical entangling surfaces in boundary CFT's with Einstein-Gauss-Bonnet-Maxwell holographic gravitational duals. We find that for Gauss-Bonnet couplings $λ$, larger than a specific value, but still allowed by causality, a violation of an inequality that Rényi entropies must obey by definition occurs. This violation is related to the existence of negative entropy black holes and restricts the coefficient of the Gauss-Bonnet coupling in the bulk theory. Furthermore, we discover a distinction in the analytic…