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

Upadhyay, Sudhaker; Pourhassan, B.; Farahani, H.

doi:10.1103/physrevd.95.106014

Cited by 102 publications

(91 citation statements)

References 69 publications

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“…BTZ black holes also considered to investigate effects of thermal fluctuations including higher order corrections [72,73,74]. P-V criticality of black holes also may affected by thermal fluctuations [75,76,77]. Hořava-Lifshitz (HL) black holes are important kind of black holes in theoretical physics [78].…”

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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“…However, at the Planck scale, just as we expect a manifold description to spacetime to break down, we also expect the equilibrium discretion to the thermodynamics to break down. We would like to point out that such thermal fluctuations have been studied for various kinds of dynamical black objects [33][34][35][36][37][38][39][40][41][42]. It would be interesting to analyze the effects of such thermal fluctuations on the spacetime metric using the formalism developed in this paper.…”

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confidence: 99%

“…In fact, this constant is usually proportional to some new constant in that theory. As this constant depends on the details of the model used, we will use an arbitrary constant α and define the corrected microcanonical entropy as [33][34][35][36][37][38][39][40][41][42] …”

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confidence: 99%

Quantum fluctuations from thermal fluctuations in Jacobson formalism

et al. 2017

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In the Jacobson formalism general relativity is obtained from thermodynamics. This is done by using the Bekenstein-Hawking entropy-area relation. However, as a black hole gets smaller, its temperature will increase. This will cause the thermal fluctuations to also increase, and these will in turn correct the Bekenstein-Hawking entropy-area relation. Furthermore, with the reduction in the size of the black hole, quantum effects will also start to dominate. Just as the general relativity can be obtained from thermodynamics in the Jacobson formalism, we propose that the quantum fluctuations to the geometry can be obtained from thermal fluctuations.The entropy of a black hole is equal to the quarter of the area of its horizon in natural units [1,2]. This observation establishes a connection between the thermodynamics and the geometry of spacetime. This entropy associated with a black hole is also the maximum entropy that can be associated with any object of the same volume [3,4]. It is interesting to observe that this maximum entropy of a region of space scales with its area and not with its volume [5]. In fact, it is this observation that has motivated the holographic principle [6,7]. Even though the holographic principle is a very important principle in physics, it is expected that this holographic principle will get modified near the Planck scale due to quantum fluctuations [8,9]. This can also be observed from the fact that the relation between the entropy and area of a black hole is expected to get modified due to quantum fluctuations. The leading order correction to the relation between the area and entropy of a black hole is a logarithmic correction in almost all approaches to quantum gravity. In a e-mail: salwams@ksu.edu.sa particular, such logarithmic corrections have been obtained using non-perturbative quantum gravity [11], the Cardy formula [12], matter fields surrounding a black hole [13][14][15], string theory [16][17][18][19], dilatonic black holes [20] the partition function of a black hole [21], and the generalized uncertainty principle [10,22]. Even though the form of the corrections from various approaches to quantum gravity are logarithmic corrections, the coefficient of such a logarithmic correction is different for all these approaches to quantum gravity.It may be noted that such logarithmic corrections can also be obtained by considering the effects of thermal fluctuations on the entropy of a black hole [29][30][31]. Now it is well known that in the Jacobson formalism, spacetime emerges from thermodynamics [23], in that general relativity can be deduced from the Bekenstein-Hawking entropy-area relation combined with the first law of thermodynamics. Thus, the correction to the Bekenstein-Hawking entropy-area relation would generate corrections to the structure of spacetime. Furthermore, as the black hole becomes smaller due to hawking radiation, its temperature would increases, and this in turn would increase the contribution coming from the thermal corrections. However, as the black ho...

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“…If, instead, one introduces quantum corrections, then phase transitions can occur even in the absence of charges. Such phase transitions have been explored in several contexts and gravitational theories, for instance assuming non-linear electrodynamics [9,10], a cloud of strings environment [11][12][13], the effect of quarkgluon matter [14], alternative gravitational theories [15][16][17][18][19][20][21][22], quantum gravity phenomenology [24], accelerating black holes [23] and other alternative formulations [25]. Besides these, some properties of the thermodynamics of a quantum-corrected Schwarzschild black hole has been studied in [26].…”

Section: Introductionmentioning

confidence: 99%

Effects of quantum corrections on the criticality and efficiency of black holes surrounded by a perfect fluid

et al. 2019

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We study some properties of the extended phase space of a quantum-corrected Schwarzschild black hole surrounded by a perfect fluid. In particular we demonstrate that, due to the quantum correction, there exist first and second order phase transitions for a certain range of the state parameter of the perfect fluid, and we explicitly analyze some cases. Besides that, we describe the efficiency of this system as a heat engine and the effect of quantum corrections for different surrounding fluids. *

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

Cited by 102 publications

References 69 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

Quantum fluctuations from thermal fluctuations in Jacobson formalism

Effects of quantum corrections on the criticality and efficiency of black holes surrounded by a perfect fluid

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