The correlation function for density perturbations in an expanding universe

Details The correlation function for density perturbations in an expanding universe The correlation function for density perturbations in an expanding universe

Nov 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phdt.........9m&link_type=abstract

Ph.D. Thesis California Univ., Berkeley.

Mathematics

Functional Analysis

Correlation, Perturbation Theory, Universe, Density Distribution, Distribution Functions, Expansion, Functional Analysis, Galaxies

Scientific paper

Analytical solutions are derived for the evolution of linearized adiabatic spherical symmetric density perturbations and the two-point correlation function in two regimes of the early universe: the radiation-dominated regime prior to decoupling and the matter-dominated regime after decoupling. A formalism is developed to find the two-point and higher order correlation functions for a given distribution of sizes and shapes of perturbations which are randomly placed in three-dimensional space. Analytical models are developed to explain two-point and three-point correlation functions. The evolution of the two-point correlation function is calculated for the large scale distribution of galaxies in space from decoupling to present.

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