The Klein–Gordon equation of a rotating charged hairy black hole in (2 + 1) dimensions

Pourhassan, B.

doi:10.1142/s0217732316500577

Cited by 20 publications

(15 citation statements)

References 32 publications

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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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“…We have shown that presence of logarithmic correction may yields to some stable points at higher dimensional case (d = 10 and d = 11). We can use higher order corrections for the other black holes like Horava-Lifshitz black hole [66,67], several kinds of hairy black holes [68][69][70][71]. In the Ref.…”

Section: Resultsmentioning

confidence: 99%

Thermodynamics of higher dimensional black holes with higher order thermal fluctuations

2017

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In this paper, we consider higher order corrections of the entropy, which coming from thermal fluctuations, and find their effect on the thermodynamics of higher dimensional charged black holes. Leading order thermal fluctuation is logarithmic term in the entropy while higher order correction is proportional to the inverse of original entropy. We calculate some thermodynamics quantities and obtain the effect of logarithmic and higher order corrections of entropy on them. Validity of the first law of thermodynamics investigated and Van der Waals equation of state of dual picture studied. We find that five-dimensional black hole behaves as Van der Waals, but higher dimensional case have not such behavior. We find that thermal fluctuations are important in stability of black hole hence affect unstable/stable black hole phase transition.

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“…Their result examined for BTZ black holes, anti-de Sitter Schwarzschild and Reissner-Nordstrom black holes in arbitrary dimensions. Such quantum correction applied to several black holes like recently proposed three-dimensional hairy black hole [8][9][10][11][12] and found that it is logarithmic at the first order approximation [13]. In that case the effects of the logarithmic correction on a charged black hole in anti de Sitter space has been studied [14].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of higher-order entropy corrected Schwarzschild–Beltrami–de Sitter black hole

Pourhassan

Farahani

Upadhyay³

2019

Int. J. Mod. Phys. A

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In this paper, we consider higher order correction of the entropy and study the thermodynamical properties of recently proposed Schwarzschild-Beltrami-de Sitter black hole, which is indeed an exact solution of Einstein equation with a positive cosmological constant. By using the corrected entropy and Hawking temperature we extract some thermodynamical quantities like Gibbs and Helmholtz free energies and heat capacity. We also investigate the first and second laws of thermodynamics. We find that presence of higher order corrections, which come from thermal fluctuations, may remove some instabilities of the black hole. Also unstable to stable phase transition is possible in presence of the first and second order corrections.

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The Klein–Gordon equation of a rotating charged hairy black hole in (2 + 1) dimensions

Cited by 20 publications

References 32 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

Thermodynamics of higher dimensional black holes with higher order thermal fluctuations

Thermodynamics of higher-order entropy corrected Schwarzschild–Beltrami–de Sitter black hole

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