English

On the time evolution of a homogeneous isotropic gaseous universe

Analysis of PDEs 2015-11-23 v6 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.1509.08179,
  title  = {On the time evolution of a homogeneous isotropic gaseous universe},
  author = {Tetu Makino},
  journal= {arXiv preprint arXiv:1509.08179},
  year   = {2015}
}

Comments

Few words have been added in Appendix with related references