An integral constraint for the evolution of the galaxy two-point correlation function

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Cosmology, Galactic Evolution, Universe, Computerized Simulation, Correlation, Expansion, Many Body Problem, Mathematical Models, Perturbation Theory

Scientific paper

Under some conditions an integral over the galaxy two-point correlation function evolves with the expansion of the Universe in a simple manner easily computed from linear perturbation theory. This provides a useful constraint on the possible evolution of the two-point correlation function itself. The integral constraint is tested with both an analytic model and numerical N-body simulations for the evolution of irregularities in an expanding Universe. Some applications are discussed.

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