Chemical potential driven phase transition of black holes in anti–de Sitter space

Galante, Mariano; Giribet, Gastón; Goya, Andrés Fabio; Oliva, Julio

doi:10.1103/physrevd.92.104039

Cited by 34 publications

(50 citation statements)

References 18 publications

(50 reference statements)

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“…EinsteinMaxwell-Λ theory conformally coupled to a scalar field in higher dimensions and see whether it can exhibit analytic solutions [24,25]. Here, we are concerned with the case of five dimensions, and the action of the theory reads…”

Section: Phase Transition and Maxwell's Equal-area Law For The Thermomentioning

confidence: 99%

“…[25], Galante et al have discussed the thermodynamic properties of higher-dimensional black holes in detail. The mass and charge of the hairy black hole are…”

Section: Phase Transition and Maxwell's Equal-area Law For The Thermomentioning

confidence: 99%

“…It turned out that the hairy solution asymptotically goes to (Anti-) de Sitter spacetime at large distance and admits a spherical horizon as well as a horizon of a different topology [24]. In 2015, the thermodynamics of higher-dimensional hairy black holes and the different phases of hairy black holes in AdS5 space were also studied in detail [25,26]. At the same time, for these hairy solutions in a five-dimensional gravitational system, Hennigar and Mann have first revealed a reentrant phase transition in the case of demanding the positivity of entropy [7].…”

Section: Introductionmentioning

confidence: 99%

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Holographic Van der Waals phase transition of the higher-dimensional electrically charged hairy black hole

Feng

2018

Eur. Phys. J. C

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With motivation by holography, employing black hole entropy, two-point connection function and entanglement entropy, we show that, for the higher-dimensional Antide Sitter charged hairy black hole in the fixed charged ensemble, a Van der Waals-like phase transition can be observed. Furthermore, based on the Maxwell equal-area construction, we check numerically the equal-area law for a first order phase transition in order to further characterize the Van der Waals-like phase transition.

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Section: Phase Transition and Maxwell's Equal-area Law For The Thermomentioning

confidence: 99%

“…[25], Galante et al have discussed the thermodynamic properties of higher-dimensional black holes in detail. The mass and charge of the hairy black hole are…”

Section: Phase Transition and Maxwell's Equal-area Law For The Thermomentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Holographic Van der Waals phase transition of the higher-dimensional electrically charged hairy black hole

Feng

2018

Eur. Phys. J. C

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“…[29,32] and are listed below for later use. The thermodynamic enthalpy M, temperature T , entropy S, and charge Q take the following forms:…”

Section: Analytic Solution In D = 5 Dimensionsmentioning

confidence: 99%

“…Furthermore, there exists a similar situation in the exploration of charged AdS hairy black holes [29] of Einstein-Maxwell theory conformally coupled to a scalar field in five dimensions. The model's action has been given by [30][31][32][33] …”

Section: Introductionmentioning

confidence: 99%

Validity of Maxwell equal area law for black holes conformally coupled to scalar fields in $$\text {AdS}_5$$ AdS 5 spacetime

Miao

2017

Eur. Phys. J. C

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We investigate the P−V criticality and the Maxwell equal area law for a five-dimensional spherically symmetric AdS black hole with a scalar hair in the absence of and in the presence of a Maxwell field, respectively. Especially in the charged case, we give the exact P−V critical values. More importantly, we analyze the validity and invalidity of the Maxwell equal area law for the AdS hairy black hole in the scenarios without and with charges, respectively. Within the scope of validity of the Maxwell equal area law, we point out that there exists a representative van der Waals-type oscillation in the P−V diagram. This oscillating part, which indicates the phase transition from a small black hole to a large one, can be replaced by an isobar. The small and large black holes have the same Gibbs free energy. We also give the distribution of the critical points in the parameter space both without and with charges, and we obtain for the uncharged case the fitting formula of the co-existence curve. Meanwhile, the latent heat is calculated, which gives the energy released or absorbed between the small and large black hole phases in the isothermal-isobaric procedure.

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Black holes in quasi-topological gravity and conformal couplings

Chernicoff

Fierro

Giribet

et al. 2017

J. High Energ. Phys.

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Lovelock theory of gravity provides a tractable model to investigate the effects of higher-curvature terms in the context of AdS/CFT. Yielding second order, ghost-free field equations, this theory represents a minimal setup in which higher-order gravitational couplings in asymptotically Anti-de Sitter (AdS) spaces, including black holes, can be solved analytically. This however has an obvious limitation as in dimensions lower than seven, the contribution from cubic or higher curvature terms is merely topological. Therefore, in order to go beyond quadratic order and study higher terms in AdS 5 analytically, one is compelled to look for other toy models. One such model is the so-called quasi-topological gravity, which, despite being a higher-derivative theory, provides a tractable setup with R 3 and R 4 terms. In this paper, we investigate AdS 5 black holes in quasi-topological gravity. We consider the theory conformally coupled to matter and in presence of Abelian gauge fields. We show that charged black holes in AdS 5 which, in addition, exhibit a backreaction of the matter fields on the geometry can be found explicitly in this theory. These solutions generalize the black hole solution of quasi-topological gravity and exist in a region of the parameter spaces consistent with the constraints coming from causality and other consistency conditions. They have finite conserved charges and exhibit non-trivial thermodynamical properties.

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Chemical potential driven phase transition of black holes in anti–de Sitter space

Cited by 34 publications

References 18 publications

Holographic Van der Waals phase transition of the higher-dimensional electrically charged hairy black hole

Holographic Van der Waals phase transition of the higher-dimensional electrically charged hairy black hole

Validity of Maxwell equal area law for black holes conformally coupled to scalar fields in $$\text {AdS}_5$$ AdS 5 spacetime

Black holes in quasi-topological gravity and conformal couplings

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