On the time evolution of a homogeneous isotropic gaseous universe

Abstract

We investigate the time evolution of a homogeneous isotropic universe which consists of a perfect gas governed by the Einstein-Euler-de Sitter equations. Under suitable assumptions on the equation of state and assumptions on the present states, we give a mathematically rigorous proof of the existence of the Big Bang at the finite past and expanding of the universe in the course to the infinite future.

arXiv commentFew words have been added in Appendix with related references