# IJPAM: Volume 90, No. 4 (2014)

**QUASI-PERIODIC SOLUTIONS OF**

EINSTEIN-FRIEDMAN EQUATIONS

EINSTEIN-FRIEDMAN EQUATIONS

Institute for Time Nature Explorations

M.V. Lomonosov's Moscow State University

Leninskie Gory, 1-12, Moscow, 119991, RUSSIA

**Abstract. **A new quasi-periodic solutions of Einstein-Friedman equations are presented here.

The equation for law of energy saving is proved to be transformed to the proper Abel ordinary differential equation.

The equation for evolution of the density of inter-stellar matter is reduced to linear ODE in the case of arbitrary equation of state. The equation of state in a form of linear connexion between the density and pressure of inter-stellar matter is used for the obtaining of such a solution. Besides, the component of solution for the density of inter-stellar matter is proved to be expressed in term of a proper quasi-elliptical integral.

The component of solution for the radius of space curvature is expressed
depending on the density of inter-stellar matter.

**Received: **October 10, 2013

**AMS Subject Classification: **83CXX, 83F05

**Key Words and Phrases: **Einstein-Friedman equations, radius of space curvature, Abel ODE

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**DOI: 10.12732/ijpam.v90i4.8**

International Journal of Pure and Applied Mathematics

**How to cite this paper?****Source:****ISSN printed version:**1311-8080

**ISSN on-line version:**1314-3395

**Year:**2014

**Volume:**90

**Issue:**4