Theoretical and Mathematical Physics

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

Cosmological models with homogeneous and isotropic spatial sections

Article

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 

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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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