On the implementation of non-gaussian effects in the press-schechter mass distribution function

Astronomy and Astrophysics – Astronomy

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The mass distribution function, or the number density for bounded objects, is an important theoretical tool for the galaxy formation problem in cosmology. Such a distribution constitutes the main body working hypothesis for analyzing cosmic structures, and may distinguish powerfully among different theoretical candidates for galaxy formation, including if whether or not the initial perturbations were Gaussian. The pioneering work on this subject was done by Press & Schechter (1974 ; PS) who gave a prescription for estimating the mass function for a hierarchical Gaussian density field. We proposed here a modification of the PS mass distribution function. The proposed analytic non-Gaussian distribution has several interesting mathematical properties, and we discuss these properties in the present communication. Hopefully, it may open several possibilities to explain the hierarchical clustering on a non-Gaussian field without the necessity of filters, BBKS formalism, and the pletora of unnatural hypotheses assumed in the literature.

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