2017
DOI: 10.1093/mnras/stx2945
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Clustering of galaxies with f(R) gravity

Abstract: Based on thermodynamics, we discuss the galactic clustering of expanding Universe by assuming the gravitational interaction through the modified Newton's potential given by f (R) gravity. We compute the corrected N -particle partition function analytically. The corrected partition function leads to more exact equations of states of the system. By assuming that system follows quasi-equilibrium, we derive the exact distribution function which exhibits the f (R) correction. Moreover, we evaluate the critical temp… Show more

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Cited by 60 publications
(43 citation statements)
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“…For example, it is well-known that f (R) gravity modifies the large distance behavior of gravitational potential [77][78][79][80]. Thus, the clustering of galaxies, interacting through effective potentials derived from f (R) gravity, has also been studied using a modified gravitational partition function, and it has been observed that also these models are consistent with observations for large samples of galaxies and clusters [81,82], although the corresponding statistical inference is a bit weaker that the nonlocal scenario we have considered here. It is worth noticing that the clustering of galaxies in f (R) gravity is also consistent with the constraints coming from the Planck data [83].…”
Section: Discussionmentioning
confidence: 56%
“…For example, it is well-known that f (R) gravity modifies the large distance behavior of gravitational potential [77][78][79][80]. Thus, the clustering of galaxies, interacting through effective potentials derived from f (R) gravity, has also been studied using a modified gravitational partition function, and it has been observed that also these models are consistent with observations for large samples of galaxies and clusters [81,82], although the corresponding statistical inference is a bit weaker that the nonlocal scenario we have considered here. It is worth noticing that the clustering of galaxies in f (R) gravity is also consistent with the constraints coming from the Planck data [83].…”
Section: Discussionmentioning
confidence: 56%
“…The swampland program and weak gravity conjecture have always been studied in many past works, such as the study of inflation models, the structure of black holes, and other cosmological implications, etc., in the Refs. [1,4,[33][34][35][36][37][38][39][40]. Now we want to evaluate another of these implications about the black brane from the plot.…”
Section: Perturbative Einstein-yang-mills Ads Black Brane In Massive ...mentioning
confidence: 99%
“…Here, by considering Eq. (36) we have obtained error limits of Λ for them. The results are exhibited in Table 4.…”
Section: Probes By Galactic Dark Mattermentioning
confidence: 99%
“…Importantly, the Hubble tension, in view of the indications revealed in the analysis below, thus can act as an independent test for the modified weak-field General Relativity, complementing the possibilities of gravity lensing [32,33], celestial mechanics [34], galaxy cluster dynamics and cosmic voids [35][36][37][38], cosmological perturbation evolution [39] and dedicated GR experimental programs [40,41].…”
Section: Introductionmentioning
confidence: 99%