<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>P</mml:mi><mml:mo>−</mml:mo><mml:mi>V</mml:mi></mml:math>criticality of logarithm-corrected dyonic charged AdS black holes

Sadeghi, J.; Pourhassan, B.; Rostami, Mohammad Reza

doi:10.1103/physrevd.94.064006

Cited by 140 publications

(114 citation statements)

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“…The thermal fluctuations can affect the critical behaviors of black holes. Such corrections to a dyonic charged anti-de Sitter black hole have been studied, and it has been observed that such a corrected solution also describes a van der Waals fluid [35]. It is also expected that such corrections to the solutions in AdS can be used to study the modifications to the quark-gluon plasma, and this can be done using the AdS/CFT correspondence [36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

Thermal fluctuations in a hyperscaling-violation background

et al. 2017

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In this paper, we study the effect of thermal fluctuations on the thermodynamics of a black geometry with hyperscaling violation. These thermal fluctuations in the thermodynamics of this system are produced from quantum corrections of geometry describing this system. We discuss the stability of this system using specific heat and the entire Hessian matrix of the free energy. We will analyze the effects of thermal fluctuations on the stability of this system. We also analyze the effects of thermal fluctuations on the criticality of the hyperscaling-violation background.

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Section: Introductionmentioning

confidence: 99%

Thermal fluctuations in a hyperscaling-violation background

et al. 2017

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“…Such corrections may affect the critical behaviors of black object, for example a dyonic charged anti-de Sitter black hole, which is holographic dual of a Van der Waals fluid [35], is considered in the Ref. [36] where logarithm-corrected thermodynamics is investigated with the result that holographic picture is still valid. However, the van der Waals phase transitions of charged black holes in massive gravity without any order correction is discussed in Ref.…”

Section: Introductionmentioning

confidence: 99%

P−V criticality of first-order entropy corrected AdS black holes in massive gravity

2017

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We consider a massive black hole in four dimensional AdS space and study the effect of thermal fluctuations on the thermodynamics of the black hole. We consider thermal fluctuations as logarithmic correction terms in the entropy. We analyse the effect of logarithmic correction on thermodynamics potentials like Helmholtz and Gibbs which are found decreasing functions. We study critical points and stability and find that presence of logarithmic correction is necessary to have stable phase and critical point.

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“…The string theory corrections to the area-entropy law of a back hole have been obtained, and it has been observed that such corrections are logarithmic [13][14][15][16]. The correction term obtained from the generalized uncertainty principle is also a logarithmic term [17,18].In the recent work [19], the logarithmic correction applied to the dyonic charged anti-de Sitter black hole, and holographic dual Van der waals fluid has been studied. Another kind of logarithmic correction already * Electronic address: b.pourhassan@du.ac.ir † Electronic address: f2mir@uwaterloo.ca ‡ Electronic address: capozzie@na.infn.it…”

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confidence: 99%

“…In the recent work [19], the logarithmic correction applied to the dyonic charged anti-de Sitter black hole, and holographic dual Van der waals fluid has been studied. Another kind of logarithmic correction already * Electronic address: b.pourhassan@du.ac.ir † Electronic address: f2mir@uwaterloo.ca ‡ Electronic address: capozzie@na.infn.it…”

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confidence: 99%

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Testing quantum gravity through dumb holes

2017

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We propose a method to test the effects of quantum fluctuations on black holes by analyzing the effects of thermal fluctuations on dumb holes, the analogues for black holes. The proposal is based on the Jacobson formalism, where the Einstein field equations are viewed as thermodynamical relations, and so the quantum fluctuations are generated from the thermal fluctuations. It is well known that all approaches to quantum gravity generate logarithmic corrections to the entropy of a black hole and the coefficient of this term varies according to the different approaches to the quantum gravity. It is possible to demonstrate that such logarithmic terms are also generated from thermal fluctuations in dumb holes. In this paper, we claim that it is possible to experimentally test such corrections for dumb holes, and also obtain the correct coefficient for them. This fact can then be used to predict the effects of quantum fluctuations on realistic black holes, and so it can also be used, in principle, to experimentally test the different approaches to quantum gravity. The entropy of a black hole (s) scales with its area rather than its volume, s = A/4, where A is the area of its horizon [1,2]. This is true not only in general relativity but also in modified theories of gravity, and so even in modified theories of gravity the leading order entropy scales with the area [3][4][5][6][7]. This expression for the entropy of a black hole can be obtained using a semi-classical approximation. Since any approach to quantum gravity has to agree with the semi-classical approximation at a sufficiently low energy scale, it is expected that all the approaches to quantum gravity will produce this expression for the entropy of a black hole. In fact, it has been observed that even though there are various different approaches to quantum gravity, all of them predict that the entropy of a black hole would be related to the area of the horizon as s = A/4. However, all these different approaches to quantum gravity also predict corrections to this relation between the area and the entropy. Non-perturbative quantum general relativity has been used to obtain such a logarithmic correction to the area-entropy law [8]. It is known that a relation exists between the density of states of a black hole and the conformal blocks of a conformal field theory in non-perturbative quantum general relativity. This relation is used to obtain the logarithmic correction to the area-entropy law. It has also been demonstrated that such a logarithmic term can be obtained using the Cardy formula for the entropy of a black hole [9]. It is also possible to analyze the exact partition function for a Bañados-Teitelboim-Zanelli (BTZ) black hole [10], and calculate the correction to the area-entropy law for such a black hole. This calculation points out that the entropy of a BTZ black hole results corrected by a logarithmic term [11]. It has also been observed that the entropy of a dilatonic black holes is also corrected by a logarithmic term [12]. The string theory correc...

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P−Vcriticality of logarithm-corrected dyonic charged AdS black holes

Cited by 140 publications

References 19 publications

Thermal fluctuations in a hyperscaling-violation background

Thermal fluctuations in a hyperscaling-violation background

P−V criticality of first-order entropy corrected AdS black holes in massive gravity

Testing quantum gravity through dumb holes

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