Thermodynamics and phase transitions of galactic clustering in higher-order modified gravity

Upadhyay, Sudhaker; Pourhassan, B.; Capozziello, Salvatore

doi:10.1142/s0218271819500275

Cited by 25 publications

(22 citation statements)

References 53 publications

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“…[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].…”

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confidence: 93%

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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confidence: 93%

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

Pourhassan

2019

Eur. Phys. J. C

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“…The MOND gravitational partition function has also been used to study the thermodynamics and the clustering properties of systems of galaxies [13,84].…”

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confidence: 99%

“…Specifically, one has to adopt a gravitational partition function [10,11] where point-like galaxies gravitationally interact. Such a partition function can be also used to study phase transitions for systems of interacting galaxies [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Logarithmic corrections to Newtonian gravity and large scale structure

et al. 2021

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Effects from nonstandard corrections to Newtonian gravity, at large scale, can be investigated using the cosmological structure formation. In particular, it is possible to show if and how a logarithmic correction (as that induced from nonlocal gravity) modifies the clustering properties of galaxies and of clusters of galaxies. The thermodynamics of such systems can be used to obtain important information about the effects of such modification on clustering. We will compare its effects with observational data and it will be demonstrated that the observations seem to point to a characteristic scale where such a logarithmic correction might be in play at galactic scales. However, at larger scales such statistical inferences are much weaker, so that a fully reliable statistical evidence for this kind of corrections cannot be stated without further investigations and the use of more varied and precise cosmological and astrophysical probes.

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“…The effects of modifications to the Newtonian (interaction) potential energy in the thermodynamics of clustering of galaxies can be studied in the formalism of Statistical Mechanics [1,2]. It has been considered that approximating galaxies as point-like particles under a gravitational partition function, we can deduce certain thermodynamic quantities of the system at hand, from which we can investigate the structure formation at large scales [3].…”

Section: Introductionmentioning

confidence: 99%

Modified Yang-Lee theory for nonlocal gravitational potential and their phase transition

Alvarado,

Escamilla-Rivera

2021

Preprint

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In this paper, we describe the extension to study the thermodynamics of the structure formation in the large scale Universe in the nonlocal gravity formalism using standard statistical mechanics. From the derivation of the grand partition function in a modified version of the Yang-Lee theory, we obtained the corresponding thermodynamics properties that can be in consistency with a Bose-Einstein dark matter framework and derive its gravitational phase transition.

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Thermodynamics and phase transitions of galactic clustering in higher-order modified gravity

Cited by 25 publications

References 53 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

Logarithmic corrections to Newtonian gravity and large scale structure

Modified Yang-Lee theory for nonlocal gravitational potential and their phase transition

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