Statistical Mechanics of a New Regular Black Hole

Pourdarvish, A.; Pourhassan, B.

doi:10.1007/s10773-013-1701-5

Cited by 12 publications

(12 citation statements)

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“…In summary, this paper is extension of previous work to include higher order correction to LMP solution, while logarithmic and higher order corrections of KS solution of HL black holes. It is interesting to consider higher order correction of a new regular black hole [107], Myerse-Perry black holes [108], rotating charged hairy black hole [109,110], or five dimensional AdS black hole at N=2 supergravity [111,112].…”

Section: Resultsmentioning

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: Resultsmentioning

confidence: 99%

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

Pourhassan

2019

Eur. Phys. J. C

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“…Howking and gravitation waves [8][9], and also a problem of stability of black holes [5][6][7][10][11].…”

Section: Energy and Temperature Of Particles In A Black Holementioning

confidence: 99%

“…Such box is the natural candidate for modelling of a black hole. With various potentials and construction and the analysis of various models of black holes many works [1][2][3][4][5][6][7][8][9][10][11] are devoted questions of the analysis of this model and this direction intensively develops. The purpose of our work is the analysis of a spectrum of microparticles when their movement is relativistic and application of the received results to model of a black hole.…”

Section: Introductionmentioning

confidence: 99%

Movement of a relativistic particle in a spherical potential box

Yurasov¹,

Yurasova²

2015

PIRT

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The problem of a relativistic particle in a spherical potential box with impenetrable walls has investigated. The power spectrum has found. Comparison with the specified characteristics for a similar not relativistic problem has executed.Essential distinctions have revealed. Possibilities of application of the solved problem in astrophysics are considered.Keywords: potential box, relativistic particle, a power spectrum, black hole, maximon, temperature of maximons.

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“…However, as the coefficient of the logarithmic term depends on the approach to quantum gravity, we can also use this analysis, in general, to test the correct approach to quantum gravity. For the future works it is interesting to apply our method to some important kinds of black holes like a new regular black hole [42], Horava-Lifshitz black hole [43], Myers-Perry black hole [44] or STU black hole [45,46]. It would also be interesting to analyze the effect of logarithmic term on the holographic heat engines [47] dual to the mentioned black holes.…”

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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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Statistical Mechanics of a New Regular Black Hole

Cited by 12 publications

References 4 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

Movement of a relativistic particle in a spherical potential box

Testing quantum gravity through dumb holes

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