IJPAM: Volume 105, No. 3 (2015)
GROUP THEORETICAL JUSTIFICATION OF
A ``SIMPLE" COSMOLOGICAL MODEL
A ``SIMPLE" COSMOLOGICAL MODEL
Igor Klebanov, Sergey Ivanov
Department of Mathematics and Physics
Chelyabinsk State Pedagogical University
69 Lenin Avenue, Chelyabinsk, 454080, RUSSIA
Department of Physics
South Ural State University
76 Lenin Avenue, Chelyabinsk, 454080, RUSSIA
Department of Computational Mathematics and Informatics
South Ural State University
76 Lenin Avenue, Chelyabinsk, 454080, RUSSIA
Department of Mathematics and Physics
Chelyabinsk State Pedagogical University
69 Lenin Avenue, Chelyabinsk, 454080, RUSSIA
Department of Physics
South Ural State University
76 Lenin Avenue, Chelyabinsk, 454080, RUSSIA
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
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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
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This work is licensed under the Creative Commons Attribution International License (CC BY).