Geodesic
Cosmological models with homogeneous and isotropic spatial sections
Teoretičeskaâ i matematičeskaâ fizika, Tome 191 (2017) no. 2, pp. 219-227

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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. 
@article{TMF_2017_191_2_a5,
     author = {M. O. Katanaev},
     title = {Cosmological models with homogeneous and isotropic spatial sections},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {219--227},
     publisher = {mathdoc},
     volume = {191},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_191_2_a5/}
}
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M. O. Katanaev. Cosmological models with homogeneous and isotropic spatial sections. Teoretičeskaâ i matematičeskaâ fizika, Tome 191 (2017) no. 2, pp. 219-227. http://geodesic.mathdoc.fr/item/TMF_2017_191_2_a5/