Theoretical and Mathematical Physics

, Volume 191, Issue 2, pp 661–668 | Cite as

Cosmological models with homogeneous and isotropic spatial sections

  • M. O. Katanaev


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.


homogeneous isotropic universe cosmology 


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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Steklov Mathematical Institute of Russian Academy of SciencesMoscowRussia
  2. 2.Kazan (Volga Region) Federal UniversityKazanRussia

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