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The Cosmological Mass Distribution Function in the Zeldovich Approximation

The Cosmological Mass Distribution Function in the Zeldovich Approximation

An analytic approximation of the mass function for gravitationally bound objects is presented. Based on the Zeldovich approximation, we extend the Press-Schechter formalism to a nonspherical dynamical model. A simple extrapolation of that approximation suggests that the gravitational collapse along all three directions, which eventually leads to the formation of …