IJPAM: Volume 105, No. 3 (2015)

GROUP THEORETICAL JUSTIFICATION OF
A ``SIMPLE" COSMOLOGICAL MODEL

Igor Klebanov$^1$, Sergey Ivanov$^3$
$^1$Department of Mathematics and Physics
Chelyabinsk State Pedagogical University
69 Lenin Avenue, Chelyabinsk, 454080, RUSSIA
$^1$Department of Physics
South Ural State University
76 Lenin Avenue, Chelyabinsk, 454080, RUSSIA
$^3$Department of Computational Mathematics and Informatics
South Ural State University
76 Lenin Avenue, Chelyabinsk, 454080, RUSSIA


Abstract. We have found a group theoretical justification of a simple cosmological model that describes a spherically symmetrical expansion of the Universe in the case of equality of the initial and critical densities of matter.

Received: July 18, 2015

AMS Subject Classification: 35Q85

Key Words and Phrases: Newtonian cosmology, Lie symmetries, ``simple" invariant solution

Download paper from here.




DOI: 10.12732/ijpam.v105i3.5 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 105
Issue: 3
Pages: 377 - 381


Google Scholar; DOI (International DOI Foundation); WorldCAT.

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).