2017/11/14 by Salvatore Capozziello, Salvatore Capozzıello, Mir Faizal +4 · 53 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Astrophysics #Classical mechanics #Cluster (spacecraft) #Cluster analysis #Correlation function (quantum field theory) #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Galaxy #Galaxy cluster #Gravitation #Partition function (quantum field theory) #Physics #Quantum gravity #Quantum mechanics #Statistical physics #Statistics #astro-ph.CO #f(R) gravity #gr-qc #hep-th
paper · pdf · doi:10.1093/mnras/stx2945
published in Monthly Notices of the Royal Astronomical Society 474(2), 2430-2443 (Oxford University Press) · 14 pages, 8 figures, 1 table; accepted for publication on MNRAS
openalex publication_date 2017/11/14 · arxiv created 2017/11/15 · arxiv updated 2018/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 state of the system. By assuming that the system follows quasi-equilibrium, we derive the exact distribution function that 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 behaviour of particle–particle correlation function also. In order to check the feasibility of an f(R) gravity approach to the clustering of galaxies, we compare our results with an observational galaxy cluster catalogue.