The lower bound violation of shear viscosity to entropy ratio due to logarithmic correction in STU model

Pourhassan, B.; Faizal, Mir

doi:10.1140/epjc/s10052-017-4665-4

Cited by 32 publications

(12 citation statements)

References 61 publications

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“…This kind of black hole is interesting in AdS/CFT correspondence [38], for example it is possible to compute hydrodynamics and thermodynamics properties of quark-gluon plasma [39,40,41,42] in presence of quantum correction. Other properties of quark-gluon plasma like drag force [43,44,45,46], jet-quenching [47,48,49,50] and shear viscosity to entropy ratio [51] may also affected by thermal fluctuations, and this can observed by experiments [52]. It is important to note that corrections to the black hole thermodynamics can study using the non-perturbative quantum general relativity.…”

Section: Introductionmentioning

confidence: 99%

PV criticality of the second order quantum corrected Hořava–Lifshitz black hole

Pourhassan

2019

Eur. Phys. J. C

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In this paper, higher order quantum gravity effects on the thermodynamics of Hořava-Lifshitz black hole investigated. Both Kehagius-Sfetsos and Lu-Mei-Pop solutions of Hořava-Lifshitz black hole considered and higher order corrected thermodynamics quantities obtained. The first order correction is logarithmic and second order correction considered proportional to the inverse of entropy. These corrections are due to the thermal fluctuation and interpreted as quantum loop corrections. Effect of such quantum corrections on the stability and critical points of Horava-Lifshitz black holes studied. We find that higher order correction affects critical point and stability of Lu-Mei-Pop solution and yield to the second order phase transition for the case of Kehagius-Sfetsos solution.Due to the thermal fluctuations, the black hole entropy modified and correction terms interpreted as quantum effect, because the quantum gravity modified the manifold structure of space-time at Planck scale [15,16]. Almost all methods of quantum gravity indicated that the leading order correction is logarithmic [17,18] and it has been argued that the general structure of the correction terms is a universal. In that case, leading order quantum corrections to the geometry of large AdS black holes and their effects on the thermodynamics given by the Ref. [19]. Hence, the thermal fluctuations in a hyperscaling violation background considered by the Ref. [20]. Thermodynamics of Kerr-Newman-AdS black holes already studied by the Ref. [21]. Similar black hole (uncharged but d-dimensional) considered under the effect of the thermal fluctuations [22] and found that logarithmic correction becomes important when the size of the black hole becomes small due to the Hawking radiation [23]. Also, statistical mechanics of charged black holes considered by the Ref. [24]. Black hole thermodynamics in modified theories of gravity like f (r) [25,26,27] also studied by the Ref.[28]. It is also possible to obtain higher order corrections [29,30] and such corrected terms has the same universal shape as expected from the quantum gravitational effects [17,18,29]. Black holes in Godel universes already introduced by the Ref. [31], in that case Kerr-Godel black hole thermodynamics investigated by the Ref. [32]. Logarithmic correction to the Godel black hole has been studied by Ref. [33]. Higher order correction to the Kerr-Newman-Godel black hole recently given by the Ref. [34] and demonstrated that second order correction is proportional to the inverse of entropy. STU black holes [35] are other interesting kinds of black hole which has been studied by the Ref. [36] from statistical point of view [37]. This kind of black hole is interesting in AdS/CFT correspondence [38], for example it is possible to compute hydrodynamics and thermodynamics properties of quark-gluon plasma [39,40,41,42] in presence of quantum correction. Other properties of quark-gluon plasma like drag force [43, 44, 45, 46], jet-quenching [47, 48, 49, 50] and shear viscosity to entropy ratio [51] ma...

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Section: Introductionmentioning

confidence: 99%

PV criticality of the second order quantum corrected Hořava–Lifshitz black hole

Pourhassan

2019

Eur. Phys. J. C

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“…For the future work, it is interesting to find the exponential corrected partition function of Kerr or Kerr-AdS black holes (rotating black holes [54]) and discuss the quantum effect on thermodynamics stability. Already, we used logarithmic corrected entropy [56] to study shear viscosity to entropy ratio and found the universal lower bound violated. It is interesting to consider exponential corrected entropy to study the holographic description of a quark-gluon plasma [57].…”

Section: Discussionmentioning

confidence: 99%

Exponential corrected thermodynamics of black holes

Pourhassan

2020

Preprint

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Recently, it is reported that thermal fluctuations which are interpreted as quantum effects, modify black holes entropy by an exponential term. We now find the effect of such modification on black hole mass and other thermodynamics quantities. We find that Schwarzschild black hole mass decreased by thermal fluctuations. Hence, we study exponential corrected thermodynamics and statistics of black holes by computing the partition function. We obtain special condition on the event horizon radius to satisfy Smarr-Gibbs-Duhem relation in the presence of quantum correction. As we know the Schwarzschild black hole is unstable, while the effect of exponential correction is the stability of 4D Schwarzschild black hole as well as the Schwarzschild-AdS black hole at a small area. On the other hand, a 5D Schwarzschild black hole is completely unstable. The effect of quantum correction on the Reissner-Nordström black hole is instability at quantum scales. Finally, we consider the most general case of charged AdS black hole and study corrected thermodynamics.

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“…Although laboratory experiments on Quark Gluon Plasma have not shown the existence of any viscous terms, their sensitivity has not yet reached yet the quantum mechanical limit [52][53][54]. However, it is also worth noting that some models suggest the violation of such a limit under particular conditions, see for instance [55,56]. Motivated by this result in QGP, and further driven by the possibility that the early universe was filled with QGP, we shall explore viscous QGP [57][58][59] as a quantum effect in the cosmological evolution.…”

Section: Introductionmentioning

confidence: 99%

Viscous Cosmologies

Medina,

Nowakowski,

Batic

2019

Preprint

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We probe into universes filled with Quark Gluon Plasma with non-zero viscosities. In particular, we study the evolution of a universe with non-zero shear viscosity motivated by the theoretical result of a non-vanishing shear viscosity in the Quark Gluon Plasma due to quantum-mechanical effects. We first review the consequences of a non-zero bulk viscosity and show explicitly the non-singular nature of the bulk-viscosity-universe by calculating the cosmological scale factor R(t) which goes to zero only asymptotically. The cosmological model with bulk viscosity is extended to include a Cosmological Constant. The previous results are contrasted with the cosmology with non-zero shear viscosity. We first clarify under which conditions shear viscosity terms are compatible with the Friedmann-Lamaître-Robertson-Walker metric. To this end we use a version of the energy-momentum tensor from the Müller-Israel-Stewart theory which leads to causal Navier-Stoke equations. We then derive the corresponding Friedmann equations and show under which conditions the universe emerges to be non-singular.

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The lower bound violation of shear viscosity to entropy ratio due to logarithmic correction in STU model

Cited by 32 publications

References 61 publications

PV criticality of the second order quantum corrected Hořava–Lifshitz black hole

PV criticality of the second order quantum corrected Hořava–Lifshitz black hole

Exponential corrected thermodynamics of black holes

Viscous Cosmologies

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