Thermodynamics and entanglement entropy with Weyl corrections

Dey, Anshuman; Mahapatra, Subhash; Sarkar, Tapobrata

doi:10.1103/physrevd.94.026006

Cited by 59 publications

(59 citation statements)

References 44 publications

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“…Since exact solution is difficult to find, here we will try to find the solution perturbatively by treating the Weyl coupling constant γ as a small perturbative parameter. In four dimensions, linear order solution in γ was found in [43] and main purpose here is to find the solution for all spacetime dimensions. Our second aim is to find the black hole solution in higher order in γ and show that the corrections due to higher order are small, and that the linear order analysis is trustable.…”

Section: Jhep04(2016)142mentioning

confidence: 99%

Thermodynamics, phase transition and quasinormal modes with Weyl corrections

Mahapatra¹

2016

J. High Energ. Phys.

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Abstract:We study charged black holes in D dimensional AdS space, in the presence of four derivative Weyl correction. We obtain the black hole solution perturbatively up to first as well as second order in the Weyl coupling, and show that first law of black hole thermodynamics is satisfied in all dimensions. We study its thermodynamic phase transition and then calculate the quasinormal frequencies of the massless scalar field perturbation. We find that, here too, the quasinormal frequencies capture the essence of black hole phase transition. Few subtleties near the second order critical point are discussed.

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Section: Jhep04(2016)142mentioning

confidence: 99%

Thermodynamics, phase transition and quasinormal modes with Weyl corrections

Mahapatra¹

2016

J. High Energ. Phys.

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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: 99%

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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“…To further confirm the similarity of the phase structure between the thermal entropy and entanglement entropy, [42] checked Maxwell's equal area law 3 later and found that it held for the first order phase transition in the entanglement entropytemperature plane. Now [40] has been generalized to the extended phase space [43], massive gravity [44], as well as Weyl gravity [45], and all the results showed that the entanglement entropy exhibited the same phase structure as that of the thermal entropy.…”

Section: Introductionmentioning

confidence: 99%

Phase structure of the Born–Infeld–anti-de Sitter black holes probed by non-local observables

Zeng

Liu

2016

Eur. Phys. J. C

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With the non-local observables such as two point correlation function and holographic entanglement entropy, we probe the phase structure of the Born-Infeld-anti-de Sitter black holes. For the case bQ > 0.5, where b is the BornInfeld parameter and Q is the charge of the black hole, the phase structure is found to be similar to that of the Van der Waals phase transition, namely the black hole undergoes a first order phase transition and a second order phase transition before it reaches a stable phase. While for the case bQ < 0.5, a new phase branch emerges besides the Van der Waals phase transition. For the first order phase transition, the equal area law is checked, and for the second order phase transition, the critical exponent of the heat capacity is obtained. All these results are found to be the same as that observed in the entropy-temperature plane.

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Thermodynamics and entanglement entropy with Weyl corrections

Cited by 59 publications

References 44 publications

Thermodynamics, phase transition and quasinormal modes with Weyl corrections

Thermodynamics, phase transition and quasinormal modes with Weyl corrections

AdS Black Hole with Phantom Scalar Field

Phase structure of the Born–Infeld–anti-de Sitter black holes probed by non-local observables

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