Phase transition and thermodynamical geometry for Schwarzschild AdS black hole in AdS5 × S5 spacetime

Zhang, Jialin; Cai, Rong-Gen; Yu, Hongwei

doi:10.1007/jhep02(2015)143

Cited by 114 publications

(60 citation statements)

References 65 publications

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“…As has already been emphasized in earlier work on holographic black hole chemistry [13][14][15][16][17], varying the cosmological constant Λ in the bulk essentially amounts to changing the number of colors in the field theory. Unlike changes in physical properties like the temperature and the chemical potential, the number of colors, N , is not a standard thermodynamical variable.…”

Section: A Universal Relation In Large N Field Theoriesmentioning

confidence: 84%

Holographic black hole chemistry

Karch

Robinson

2015

J. High Energ. Phys.

140

159

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Thermodynamic quantities associated with black holes in Anti-de Sitter space obey an interesting identity when the cosmological constant is included as one of the dynamical variables, the generalized Smarr relation. We show that this relation can easily be understood from the point of view of the dual holographic field theory. It amounts to the simple statement that the extensive thermodynamic quantities of a large N gauge theory only depend on the number of colors, N , via an overall factor of N 2 .

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Section: A Universal Relation In Large N Field Theoriesmentioning

confidence: 84%

Holographic black hole chemistry

Karch

Robinson

2015

J. High Energ. Phys.

140

159

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“…So far, four different geometrical methods were introduced; Weinhold [131,132], Ruppeiner [133,134], Quevedo [135,136] and HPEM [137,138]. Several studies in context of black holes with consideration of such methods have been done [139][140][141][142][143][144]. In addition, it was pointed out that one can employ geometrical thermodynamics to obtain phase transition points in superconductors [145].…”

Section: Jhep05(2016)029mentioning

confidence: 99%

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

Hendi

Panah

Panahiyan

2016

J. High Energ. Phys.

106

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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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“…According to the proposition reported in [1,[20][21][22], we consider the cosmological constant as the number of M2-branes in the M-theory background and its conjugate quantity as the associated chemical potential.…”

Section: Thermodynamics Of Black Holes In Ad S 4 × S 7 Spacementioning

confidence: 99%

“…In this context, very recently the thermodynamics and thermodynamical geometry for five-dimensional AdS black holes in a type IIB superstring background known as Ad S 5 × S 5 [20][21][22] have been scrutinized. This geometry has been studied in many places in connection with the AdS/CFT correspondence providing a very useful framework to investigate such a geometry via the equivalence between gravitational theories in d-dimensional AdS space and conformal field theories (CFT) in a (d − 1)-dimensional boundary of such AdS spaces [23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

On thermodynamics of charged AdS black holes in extended phases space via M2-branes background

2016

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Motivated by a recent work on asymptotically AdS 4 black holes in M-theory, we investigate both thermodynamics and the thermodynamical geometry of ReissnerNordstrom-AdS black holes from M2-branes. More precisely, we study AdS black holes in Ad S 4 × S 7 , with the number of M2-branes interpreted as a thermodynamical variable. In this context, we calculate various thermodynamical quantities including the chemical potential, and examine their phase transitions along with the corresponding stability behaviors. In addition, we also evaluate the thermodynamical curvatures of the Weinhold, Ruppeiner, and Quevedo metrics for M2-branes geometry to study the stability of such a black object. We show that the singularities of these scalar curvature's metrics reproduce similar stability results to those obtained by the phase transition diagram via the heat capacities in different ensembles either when the number of the M2 branes or the charge is held fixed. Also, we note that all results derived in Belhaj et al. (Eur Phys J C 76(2):73, 2016) are recovered in the limit of the vanishing charge.

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Phase transition and thermodynamical geometry for Schwarzschild AdS black hole in AdS5 × S5 spacetime

Cited by 114 publications

References 65 publications

Holographic black hole chemistry

Holographic black hole chemistry

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

On thermodynamics of charged AdS black holes in extended phases space via M2-branes background

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