Astron. Astrophys. 326, 433-441
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Force equation of the large-scale structure of the Universe
Instituto de Astrofísica de Canarias, E-38200 La Laguna, Tenerife, Spain
Received 27 August 1996 / Accepted 20 May 1997
This article presents a statistical-mechanical treatment of a relationship (the force equation) between the gravitational potential for two particles and the correlation functions in a relaxed distribution of particles with different masses. This relationship is used in the case of galaxies interacting through a Newtonian potential in a Universe in expansion, i.e. the large-scale distribution of galaxies.
By applying this equation and from the observed two-point correlation function for galaxies as a -1.8 exponent power law, I derive the approximate dependence of a mass-mass correlation function as a -2.8 exponent power law, i.e. I infer that mass is more correlated than galaxies at short distances, when the distribution is considered as relaxed.
Key words: gravitation - dark matter - large-scale structure of Universe
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© European Southern Observatory (ESO) 1997
Online publication: September 18, 1997