$$P$$ P – $$V$$ V criticality of AdS black hole in the Einstein–Maxwell–power-Yang–Mills gravity

Zhang, Ming; Yang, Zhan-Ying; Zou, De-Cheng; Xu, Wei; Yue, Rui-Hong

doi:10.1007/s10714-015-1851-2

Cited by 38 publications

(22 citation statements)

References 58 publications

(63 reference statements)

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“…Again, we found a slope around 3, then the critical exponent of the specific heat capacity is consistent with that of the mean field theory of the Van der Waals as in the thermal and entanglement entropy portraits [55,58]. Therefore, we conclude that the two-point correlation function of the Anti-de-Sitter-Maxwell-Yang-Mills black hole exists a second order phase transition at the critical temperature T c .…”

Section: Two Point Correlation Functionsupporting

confidence: 87%

“…(52) is around 3 indicating that the critical exponent is −2/3 in total concordance with that in Eq. (33), therefore the critical exponent for second-order phase transition of the holographic entanglement entropy agrees with that of the thermal entropy in the canonical ensemble [55,58] . Now, we turn our attention to the grand canonical ensemble, we adopt the same analysis and the chosen values of the previous subsection, by writing the Eq.…”

Section: Holographic Entanglement Entropysupporting

confidence: 62%

“…We start this section by writing the N-dimensional for Einstein-Maxwell-Yang-Mills gravity with a cosmological constant Λ described by the following action [54,55]…”

Section: Canonical Ensemblementioning

confidence: 99%

“…Where A µ is the usual Maxwell potential. The metric for such N dimensional spherical black hole may be chosen to be [55]…”

Section: Canonical Ensemblementioning

confidence: 99%

“…Obviously, the area A 1 equals to area A 2 for different C, so the equal area law doesn't break. For the second phase transition, we know that near the critical point, there is always a linear relation with slope equal to 3 [55,58]…”

Section: Canonical Ensemblementioning

confidence: 99%

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Anti-de-Sitter-Maxwell-Yang-Mills Black Holes Thermodynamics from Nonlocal Observables Point of View

Moumni

2019

Advances in High Energy Physics

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In this paper we analyze the thermodynamic properties of the Anti de Sitter black hole in the Einstein-Maxwell-Yang-Mills-AdS gravity (EMYM) via many approaches and in different thermodynamical ensembles (canonical/ grand canonical). First, we give a concise overview of this phase structure in the entropy-thermal diagram for fixed charges then we investigate this thermodynamical structure in fixed potentials ensemble. The Next relevant step is recalling the nonlocal observables such as holographic entanglement entropy and two-point correlation function to show that both observables exhibit a Van der Waals-like behavior in our numerical accuracy and just near the critical line as the case of the thermal entropy for fixed charges by checking Maxwell's equal area law and the critical exponent.In the light of the grand canonical ensemble, we also find a newly phase structure for such a black hole where the critical behavior disappears in the thermal picture as well as in the holographic one. * hasan.elmoumni@edu.uca.ma

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Section: Two Point Correlation Functionsupporting

confidence: 87%

Section: Holographic Entanglement Entropysupporting

confidence: 62%

“…We start this section by writing the N-dimensional for Einstein-Maxwell-Yang-Mills gravity with a cosmological constant Λ described by the following action [54,55]…”

Section: Canonical Ensemblementioning

confidence: 99%

“…Where A µ is the usual Maxwell potential. The metric for such N dimensional spherical black hole may be chosen to be [55]…”

Section: Canonical Ensemblementioning

confidence: 99%

Section: Canonical Ensemblementioning

confidence: 99%

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Anti-de-Sitter-Maxwell-Yang-Mills Black Holes Thermodynamics from Nonlocal Observables Point of View

Moumni

2019

Advances in High Energy Physics

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Holographical Aspects of Dyonic Black Holes: Massive Gravity Generalization

2017

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The content of this paper includes studying holographical and thermodynamical aspects of dyonic black holes in the presence of massive gravity. For the first part of paper, thermodynamical properties of the bulk which includes black holes are studied and the main focus is on critical behavior. It will be shown that the existence of massive gravitons introduces remnant for temperature after evaporation of black holes, van der Waals phase transition for non-spherical black holes and etc. The consistency of different thermodynamical approaches toward critical behavior of the black holes is presented and the physical properties near the region of thermal instability are given. Next part of the paper studies holographical aspects of the boundary theory. Magnetization and susceptibility of the boundary are extracted and the conditions for having diamagnetic and paramagnetic behaviors are investigated. It will be shown that generalization to massive gravity results into the existence of diamagnetic/paramagnetic phases in phase structure of the hyperbolic and horizon flat of boundary conformal field theory.

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Black Hole Solutions in Gauss‐Bonnet‐Massive Gravity in the Presence of Power‐Maxwell Field

Hendi

Panah

Panahiyan

2018

Fortschritte der Physik

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Motivated by recent progresses in the field of massive gravity, the paper at hand investigates the thermodynamical structure of black holes with three specific generalizations: i) Gauss-Bonnet gravity which is motivated from string theory ii) PMI nonlinear electromagnetic field which is motivated from perspective of the QED correction iii) massive gravity which is motivated by obtaining the modification of standard general relativity. The exact solutions of this setup are extracted which are interpreted as black holes. In addition, thermodynamical quantities of the solutions are calculated and their critical behavior are studied. It will be shown that although massive and Gauss-Bonnet gravities are both generalizations in gravitational sector, they show opposing effects regarding the critical behavior of the black holes. Furthermore, a periodic effect on number of the phase transition is reported for variation of the nonlinearity parameter and it will be shown that for super charged black holes, system is restricted in a manner that prevents it to reach the critical point and to acquire phase transition. In addition, the effects of geometrical structure on thermodynamical phase transition will be highlighted.

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$$P$$ P – $$V$$ V criticality of AdS black hole in the Einstein–Maxwell–power-Yang–Mills gravity

Cited by 38 publications

References 58 publications

Anti-de-Sitter-Maxwell-Yang-Mills Black Holes Thermodynamics from Nonlocal Observables Point of View

Anti-de-Sitter-Maxwell-Yang-Mills Black Holes Thermodynamics from Nonlocal Observables Point of View

Holographical Aspects of Dyonic Black Holes: Massive Gravity Generalization

Black Hole Solutions in Gauss‐Bonnet‐Massive Gravity in the Presence of Power‐Maxwell Field

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