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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 191, Number 2, Pages 219–227
DOI: https://doi.org/10.4213/tmf9181 (Mi tmf9181) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Cosmological models with homogeneous and isotropic spatial sections

M. O. Katanaevab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (398 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf9181
Abstract: The assumption that the universe is homogeneous and isotropic is the basis for the majority of modern cosmological models. We give an example of a metric all of whose spatial sections are spaces of constant curvature but the space–time is nevertheless not homogeneous and isotropic as a whole. We give an equivalent definition of a homogeneous and isotropic universe in terms of embedded manifolds.
Keywords: homogeneous isotropic universe, cosmology.
Received: 24.02.2016
Revised: 06.04.2016
English version:
Theoretical and Mathematical Physics, 2017, Volume 191, Issue 2, Pages 661–668
DOI: https://doi.org/10.1134/S0040577917050063
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. O. Katanaev, “Cosmological models with homogeneous and isotropic spatial sections”, TMF, 191:2 (2017), 219–227; Theoret. and Math. Phys., 191:2 (2017), 661–668
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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