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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf9181https://doi.org/10.4213/tmf9181 https://www.mathnet.ru/eng/tmf/v191/i2/p219
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