Modeling Gravitational Clustering without Computing Gravitational Force

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Latex file (needs, epsf.sty, aaspp4.sty); postscript figures; 10 pages (including figures); To appear in ApJ Letters

Scientific paper

10.1086/310186

The large-scale structure in the Universe is believed to arise out of small random density perturbations generated in the very early Universe, that are amplified by gravity. Large and usually intricate N-body simulations are typically employed to model the complex nonlinear dynamics in a self gravitating medium. We suggest a very simple model which predicts, on large scales, the correct density and velocity distributions. The model does not involve an explicit computation of the gravitational force. It is based on a simple transformation of the variables and local conservation laws of mass and {\it generalized} linear momentum. The model demonstrates that the overall appearance of large-scale structure in the Universe is explicitly determined by the initial velocity field and it reveals the most significant large-scale effects of gravity on the formation of structure.

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