Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981ap%26ss..78..427n&link_type=abstract
Astrophysics and Space Science, vol. 78, no. 2, Aug. 1981, p. 427-433.
Astronomy and Astrophysics
Astrophysics
1
Big Bang Cosmology, Correlation, Hydrodynamic Equations, Universe, Approximation, Differential Equations, Gravitation Theory, Mathematical Models
Scientific paper
A direct approach of the dynamical equation for the evolution of the two-point density correlation function w is given in an expanding flat Friedmann Universe in the Newtonian approxi- mation. If the third and higher moments are negkcted, a wave-like equation of third-order for the two-point density correlation function is found. The exact solution of this equation shows, in the large time limit, the usual Jeans instability U t413. It is suggested that the higher n-point correlation function of the density grow like t~3 in the same approximation. This indicates that every truncation procedure of the hierarchy of the equations is inapplicable at least for large times t
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