A direct hydrodynamical approach to the evolution of the density correlations in an expanding flat Friedmann Universe |
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Authors: | Ekkehard Nowotny |
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Institution: | (1) Fakultät für Physik, Universität Konstanz, W. Germany |
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Abstract: | A direct approach of the dynamical equation for the evolution of the two-point density correlation function is given in an expanding flat Friedmann Universe in the Newtonian approximation. If the third and higher moments are neglected, 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 ![ohgr](/content/w63786232u68jt28/xxlarge969.gif) t
4/3. It is suggested that the highern-point correlation function of the density grow liket
2n/3
in the same approximation. This indicates that every truncation procedure of the hierarchy of the equations is inapplicable at least for large timest. |
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Keywords: | |
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