C SIVAKUMAR, MONCY V JOHN* and K BABU JOSEPH

Department of Physics, Cochin University of Science and Technology, Kochi 682 022, India

Email: sivakumarc@cusat.ac.in; moncy@stthom.ernet.in

Abstract.

We develop a stochastic formulation of cosmology in the early universe, after considering the scatter in the redshift-apparent magnitude diagram in the early epochs as an observational evidence for the non-deterministic evolution of early universe. We consider the stochastic evolution of density parameter in the early universe after the inflationary phase qualitatively, under the assumption of fluctuating w factor in the equation of state, in the Fokker--Planck formalism. Since the scale factor for the universe depends on the energy density, from the coupled Friedmann equations we calculated the two variable probability distribution function assuming a flat space geometry.

Keywords: Cosmology; stochastic equations; Fokker--Planck equation.

Pacs Nos. 98.80; 02.50