On heat properties of AdS black holes in higher dimensions

Belhaj, A.; Chabab, M.; Moumni, H. El; Masmar, K.; Sedra, M. B.; Seguí, A.

doi:10.1007/jhep05(2015)149

Cited by 115 publications

(86 citation statements)

References 34 publications

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“…A particular emphasis has been put on AdS black holes [28][29][30][31][32][33][34]. More precisely, a nice interplay between the behaviors of the RN-AdS black hole systems and the Van der Waals fluids has been discussed at length in [35][36][37][38][39][40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

Behavior of quasinormal modes and high dimension RN–AdS black hole phase transition

et al. 2016

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In this work we use the quasinormal frequencies of a massless scalar perturbation to probe the phase transition of the high dimension charged AdS black hole. The signature of the critical behavior of this black hole solution is detected in the isobaric as well as in isothermal process. This paper is a natural generalization of Liu et al. (JHEP 1409(JHEP :179, 2014 to higher dimensional spacetime. More precisely our study shows a clear signal for any dimension d in the isobaric process. As to the isothermal case, we find that this signature can be affected by other parameters like the pressure and the horizon radius. We conclude that the quasinormal modes can be an efficient tool to investigate the first-order phase transition, but fail to disclose the signature of the second-order phase transition.

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Section: Introductionmentioning

confidence: 99%

Behavior of quasinormal modes and high dimension RN–AdS black hole phase transition

et al. 2016

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“…Hence, the phase transitions along with various critical phenomena for AdS black holes have been extensively analyzed in the framework of different approaches [7][8][9][10][11]. Also, the equations of state describing rotating black holes have been interpreted by confronting them to some known thermodynamical ones, like the van der a e-mail: hasan.elmoumni@edu.uca.ma Waals gas [12][13][14][15][16][17][18][19]. Emphasis has also been put on the free energy and its behavior in the fixed charge ensemble.…”

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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“…These conditions imply that q only takes values 0, ±|q|. Meanwhile, the scalar field configuration takes the form 5) and the Maxwell gauge potential reads 6) where the field strength still takes the standard form:…”

Section: Analytic Solution In D = 5 Dimensionsmentioning

confidence: 99%

“…Since the seminal work by Hawking and Bekenstein on the radiation of black holes, the exploration of thermodynamic properties of black holes has received a wide range of attention [1][2][3] and also acquired great progress [4][5][6][7]. Of more particular interest is the thermodynamics of antide Sitter (AdS) black holes [8,9] where the AdS/CFT duality plays a pivotal role in recent developments of theoretical physics [10,11].…”

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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On heat properties of AdS black holes in higher dimensions

Cited by 115 publications

References 34 publications

Behavior of quasinormal modes and high dimension RN–AdS black hole phase transition

Behavior of quasinormal modes and high dimension RN–AdS black hole phase transition

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

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

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