Press-Schechter Formalism: Cases of Non-Gaussian Primordial Fluctuations

Astronomy and Astrophysics – Astrophysics

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Scientific paper

It is widely believed that the large scale structure of the universe has evolved from the primordial mass fluctuations generated from the quantum fluctuations during the inflationary stage of the early universe. Its statistical properties have been supposed to be those of Gaussian statistics. Recent progress of the model building for the inflation theory tells us that it is not necessarily so. Hence, the extension of the Press-Schechter formalism to the non-Gaussian case is desired in order to predict the present large scale structure of the universe from the fundamental physical theory. Here, we develop the formalism for the mass function, merger rate, formation time and biasing in the case of the non-Gaussian statistics. Our formalism will give the basis for making the connection between the fertile deep sky observation and the intricate scenario in particle physics.

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