Open Universe Model: Description by Mathieu Functions

Abstract

A model of the open Universe described by a conformally flat 4-metric is considered. The gravitational equations with a perfect Pascal fluid as a source are reduced to the nonlinear equation of oscillations. It is proposed to consider this equation as the Mathieu equation encompassing some cosmological models. It is shown that the behaviour of the Universe state function is in qualitative accordance with the Big Bang scenario.

2 pages, Talk presented at the 5th Int. Conf. on Grav. and Astrophys. of Acian-Pacific Countries (ICGA-5), Moscow, 2001