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 temperature and discuss the stability of the system. We observe the effects of correction of $f(R)$ gravity on the power law behavior of particle-particle correlation function also. In order to check feasibility of an $f(R)$ gravity approach to the clustering of galaxies, we compare our results with an observational galaxy cluster catalog.

arXiv comment14 pages, 8 figures, 1 table; accepted for publication on MNRAS

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• Cosmic evolution of the logarithmic f(R) model and the dS swampland conjecture
• Hubble tension and absolute constraints on the local Hubble parameter
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• Maximum turnaround radius in $f(R)$ gravity
• Thermodynamics and phase transitions of galactic clustering in higher-order Modified Gravity
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• Probing gravity with redshift-space distortions: effects of tracer bias and sample selection
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• Smeared Mass Source Wormholes in Modified $f(R)$ Gravity with the Lorentzian Density Distribution Function
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• Approaching the Dark Sector through a bounding curvature criterion
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• Effect of nonfactorizable background geometry on thermodynamics of clustering of galaxies
• Statistical description of massless excitations within a sphere with a linear equation of state and the dark energy case
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• Tidal disruption effects near black holes and Lambda-gravity
• Study of the large scale structure through modified gravity theory using statistical mechanics
• The cosmological constant vs adiabatic invariance
• Statistical description of galaxy clusters in Finzi model of gravity
• $f(R)$ Gravity Effects on Charged Accelerating AdS Black Holes using Holographic Tools