Open Universe Model: Description by Mathieu Functions

Details Open Universe Model: Description by Mathieu Functions Open Universe Model: Description by Mathieu Functions

2012-01-21

arxiv.org/abs/1201.4432v1

Gravitation and Cosmology, Vol.8 (2002), Supplement II, pp.12-13

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

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.

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