Thermodynamics of higher dimensional black holes with higher order thermal fluctuations

Pourhassan, B.; Kokabi, K.; Rangyan, S.

doi:10.1007/s10714-017-2315-7

Cited by 73 publications

(29 citation statements)

References 115 publications

(121 reference statements)

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“…For higher dimensions, the thermodynamics of multidimensional BHs was studied [78,79,80,81,82,83] and references therein. The Hawking temperature of a Schwarzschild BH in a spacetime of dimension s ′ ≥ 4 is given by formulas (see, for instance, [82])…”

Section: The Entropy and Temperature Of Higher Dimension Schwarzschilmentioning

confidence: 99%

Black holes with MDRs and Bekenstein–Hawking and Perelman entropies for Finsler–Lagrange–Hamilton Spaces

2019

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New geometric and analytic methods for generating exact and parametric solutions in generalized Einstein-Finsler like gravity theories and nonholonomic Ricci soliton models are reviewed and developed. We show how generalizations of the Schwarzschild -(anti) de Sitter metric can be constructed for modified gravity theories with arbitrary modified dispersion relations, MDRs, and Lorentz invariance violations, LIVs. Such theories can be geometrized on cotangent Lorentz bundles (phase spaces) as models of relativistic Finsler-Lagrange-Hamilton spaces. There are considered two general classes of solutions for gravitational stationary vacuum phase space configurations and nontrivial (effective) matter sources or cosmological constants. Such solutions describe nonholonomic deformations of conventional higher dimension black hole, BH, solutions with general dependence on effective four dimensional, 4-d, momentum type variables. For the first class, we study physical properties of Tangherlini like BHs in phase spaces with generic dependence on an energy coordinate/ parameter. We investigate also BH configurations on base spacetime and in curved cofiber spaces when the BH mass and the maximal speed of light determine naturally a cofiber horizon. For the second class, the solutions are constructed with Killing symmetry on an energy type coordinate. There are analysed the conditions when generalizations of Beckenstein-Hawking entropy (for solutions with conventional horizons) and/or Grigory Perelman's W-entropy (for more general generic off-diagonal solutions) can be defined for phase space stationary configurations.

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Section: The Entropy and Temperature Of Higher Dimension Schwarzschilmentioning

confidence: 99%

Black holes with MDRs and Bekenstein–Hawking and Perelman entropies for Finsler–Lagrange–Hamilton Spaces

2019

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“…First of all note that, thanks to the non-commutative arguments of equation (20), the constant s can be chosen of the order of unity. Also the positive constant C 1 [2] can reasonable be fixed of the order of unity.…”

Section: Quantum Corrections To the Internal Energy U (R)mentioning

confidence: 99%

Building a linear equation-of-state for trapped gravitons from finite size effects and the Schwarzschild black hole case

Viaggiu

2018

Int. J. Mod. Phys. D

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In this paper we continue the investigations present in [1] and [2] concerning the spectrum of trapped gravitons in a spherical box, and in particular inside a Schwarzschild black hole (BH). We explore the possibility that, due to finite size effects, the frequency of the radiation made of trapped gravitons can be modified in such a way that a linear equation of state P V = γU for the pressure P and the internal energy U arises. Firstly, we study the case with U ∼ R, where only fluids with γ > − 1 3 are possible. If corrections ∼ 1/R are added to U , for γ ∈ [0, 1 3 ] we found no limitation on the allowed value for the areal radius of the trapped sphere R. Moreover, for γ > 1 3 we have a minimum allowed value for R of the order of the Planck length L P . Conversely, a fluid with P < 0 can be obtained but with a maximum allowed value for R. With the added term looking like ∼ 1/R to the BH internal energy U , the well known logarithmic corrections to the BH entropy naturally emerge for any linear equation of state. The results of this paper suggest that finite size effects could modify the structure of graviton's radiation inside, showing a possible mechanism to transform radiation into dark energy. * viaggiu@axp.mat.uniroma2.it and s.viaggiu@unimarconi.it

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“…[70]. Also, thermodynamics of higher dimensional black holes with higher order thermal fluctuations studied in [71]. BTZ black holes also considered to investigate effects of thermal fluctuations including higher order corrections [72,73,74].…”

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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Thermodynamics of higher dimensional black holes with higher order thermal fluctuations

Cited by 73 publications

References 115 publications

Black holes with MDRs and Bekenstein–Hawking and Perelman entropies for Finsler–Lagrange–Hamilton Spaces

Black holes with MDRs and Bekenstein–Hawking and Perelman entropies for Finsler–Lagrange–Hamilton Spaces

Building a linear equation-of-state for trapped gravitons from finite size effects and the Schwarzschild black hole case

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

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