LARGE-SCALE STRUCTURE OF THE UNIVERSE - A NALYTICAL THEORY

The analytical theory of the nonlinear stage of Jeans instability in a cold nondissipative gas in an expanding Universe is developed. It is shown that the development of this instability leads to giant dark mat ter halo formation (on a scale of 200 kpc). This halo has a singularit y of density rho proportional to r(-alpha), alpha approximate to 1,7-1 ,9. A comparison of analytical theory with numerical simulations is ma de, and a good agreement is established. On the basis of analytical dy namical solution the statistical method for calculation of galaxies an d clusters correlation functions is developed. The comparison with obs ervational data is achieved. The astrophysical consequence of the deve loped theory is discussed.