Stochastic evolution of cosmological parameters in the early universe
C Sivakumar Moncy V John K Babu Joseph
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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.
C Sivakumar1 Moncy V John1 2 K Babu Joseph1
Volume 97, 2023
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