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2020, no. 4

MODELS OF THE DYNAMICS OF A SELF-GRAVITATING POLYTROPIC GAS

Zhuravlev V.M.

Using the method of hydrodynamic substitutions, a solution to the problem of the dynamics of a self-gravitating gas with a barotropic equation of state is constructed. Gas flow is described by Hubbles law. The problem is solved within the framework of the classical theory of gravitation. A connection is established with the Emden-Lane theory of stellar polytropes.

Keywords: Dynamics of self-gravitating gas, Newtons theory of gravity, Hubbles flow, cosmology, evolution of stellar atmospheres.

UDC: 53.01+524+52-33+51-71

PACS: 04.40.-b, 04.20.Jb, 97.10.Cv, 95.30.Lz, 98.80.-k

DOI: 10.17238/issn2226-8812.2020.4.10-22

Please cite this article in English as:
Zhuravlev V.M. Models of the dynamics of a self-gravitating polytropic gas. Space, Time and Fundamental Interactions, 2020, no. 4, pp. 10-22.