Force equation of the largescale structure of the Universe.
Abstract
This article presents a statisticalmechanical 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 largescale distribution of galaxies. By applying this equation and from the observed twopoint correlation function for galaxies as a 1.8 exponent power law, I derive the approximate dependence of a massmass 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.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 October 1997
 DOI:
 10.48550/arXiv.astroph/9706005
 arXiv:
 arXiv:astroph/9706005
 Bibcode:
 1997A&A...326..433L
 Keywords:

 GRAVITATION;
 DARK MATTER;
 LARGESCALE STRUCTURE OF UNIVERSE;
 Astrophysics
 EPrint:
 10 pages, Latex, 3 Postscript figures, accepted in A&