Phase transition of holographic entanglement entropy in massive gravity

Zeng, Xiao-Xiong; Zhang, Hongbao; Li, Lifang

doi:10.1016/j.physletb.2016.03.013

Cited by 93 publications

(72 citation statements)

References 23 publications

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“…It was found that the entanglement entropy can characterize the related phase transition for a charged AdS black hole. Further studies on holographic entanglement entropy and its relation to phase transition have been done for various AdS black holes in [35][36][37][38]. For the AdS phantom black hole presented in this paper, we will further show such a relation which keeps valid even for the case with the Ricci flat horizon black hole.…”

Section: Introductionmentioning

confidence: 59%

AdS Black Hole with Phantom Scalar Field

Zhang¹,

Zeng²,

Li³

2017

Advances in High Energy Physics

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We present an AdS black hole solution with Ricci flat horizon in Einstein-phantom scalar theory. The phantom scalar fields just depend on the transverse coordinates and , which are parameterized by the parameter . We study the thermodynamics of the AdS phantom black hole. Although its horizon is a Ricci flat Euclidean space, we find that the thermodynamical properties of the black hole solution are qualitatively the same as those of AdS Schwarzschild black hole. Namely, there exists a minimal temperature and the large black hole is thermodynamically stable, while the smaller one is unstable, so there is a so-called Hawking-Page phase transition between the large black hole and the thermal gas solution in the AdS space-time in Poincare coordinates. We also calculate the entanglement entropy for a strip geometry dual to the AdS phantom black holes and find that the behavior of the entanglement entropy is qualitatively the same as that of the black hole thermodynamical entropy.

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Section: Introductionmentioning

confidence: 59%

AdS Black Hole with Phantom Scalar Field

Zhang¹,

Zeng²,

Li³

2017

Advances in High Energy Physics

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“…It was pointed out that for this phase transition, the maximal tunnelling current and the coherence length of junction are affected by the mass of graviton in Vegh's massive gravity model [67]. In addition, phase transition of holographic entanglement entropy in this massive gravity is investigated as well [68]. It is also notable that the existence of massive graviton results into new phenomenology for gravitational system.…”

Section: Jhep05(2016)029mentioning

confidence: 96%

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Hendi

Panah

Panahiyan

2016

J. High Energ. Phys.

104

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Motivated by recent developments of BTZ black holes and interesting results of massive gravity, we investigate massive BTZ black holes in the presence of Maxwell and Born-Infeld (BI) electrodynamics. We study geometrical properties such as type of singularity and asymptotical behavior as well as thermodynamic structure of the solutions through canonical ensemble. We show that despite the existence of massive term, obtained solutions are asymptotically (a)dS and have a curvature singularity at the origin. Then, we regard varying cosmological constant and examine the Van der Waals like behavior of the solutions in extended phase space. In addition, we employ geometrical thermodynamic approaches and show that using Weinhold, Ruppeiner and Quevedo metrics leads to existence of ensemble dependency while HPEM metric yields consistent picture. For neutral solutions, it will be shown that generalization to massive gravity leads to the presence of non-zero temperature and heat capacity for vanishing horizon radius. Such behavior is not observed for linearly charged solutions while generalization to nonlinearly one recovers this property.

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“…Especially, making use of entanglement entropy, Johnson [22] proposed that the Van der Waals-like phase transition can be illustrated in the entanglement entropy-temperature plane. Now, the related work has been generalized to massive gravity [23] and Weyl gravity [24], as well as supergravity spacetime [25]. Furthermore, the equal area construction has also been verified in the entanglement entropytemperature plane [26].…”

Section: Introductionmentioning

confidence: 92%

Holographic research on phase transitions for a five dimensional AdS black hole with conformally coupled scalar hair

Yang

2017

Physics Letters B

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In the framework of holography, we survey the phase structure for a higher dimensional hairy black hole including the effects of the scalar field hair. It is worth emphasizing that, not only black hole entropy, but also entanglement entropy and two point correlation function exhibit the Van der Waals-like phase transition in a fixed scalar charge ensemble. Furthermore, by making use of numerical computation, we show that the Maxwell's equal area law is valid for the first order phase transition. In addition, we also discuss how the hair parameter affects the black hole's phase transition.

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Phase transition of holographic entanglement entropy in massive gravity

Cited by 93 publications

References 23 publications

AdS Black Hole with Phantom Scalar Field

AdS Black Hole with Phantom Scalar Field

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Holographic research on phase transitions for a five dimensional AdS black hole with conformally coupled scalar hair

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