Integration of \(D\)-dimensional cosmological models with two factor spaces by reduction to the generalized Emden-Fowler equation
type: Item
instance of: scholarly article
title: Integration of \(D\)-dimensional cosmological models with two factor spaces by reduction to the generalized Emden-Fowler equation
zbMATH Open document ID: 0954.83017
DOI: 10.1007/BF02575448
author: V. R. Gavrilov
author: V. N. Melnikov
published in: Theoretical and Mathematical Physics
publication date: 2001-02-12T00:00:00Z
full work available at URL: https://arxiv.org/abs/gr-qc/9801042
review text: A general multidimensional cosmological model is developed which describes spaces with a mixture of several perfect fluid components as the source of the gravitational field. The equations of motion are integrable in some cases, in particular when there are two factor spaces and two fluid components. The Einstein equations then reduce to the Emden-Fowler equation. This method is then applied to specific new cosmological spaces.
Mathematics Subject Classification ID: 83E15
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 83F05
zbMATH DE Number: 1465972
zbMATH Keywords: cosmological models
zbMATH Keywords: factor spaces
zbMATH Keywords: Einstein equations
zbMATH Keywords: Emden-Fowler equation
reviewed by: Ralph G. Beil
MaRDI profile type: Publication
arXiv ID: gr-qc/9801042
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OpenAlex ID: W2052554226
description: scientific article