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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 191, No. 2, pp. 219–227, May, 2017.
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Katanaev, M.O. Cosmological models with homogeneous and isotropic spatial sections. Theor Math Phys 191, 661–668 (2017). https://doi.org/10.1134/S0040577917050063
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DOI: https://doi.org/10.1134/S0040577917050063