Abstract
Within the framework of a Bianchi type-II (BII) cosmological model the behavior of matter distribution has been considered. It is shown that the non-zero off-diagonal component of the Einstein tensor implies some severe restrictions on the choice of matter distribution. In particular, for a locally rotationally symmetric Bianchi type-II (LRS BII) space-time, it is proved that the matter distribution should be strictly isotropic if the corresponding matter field possesses only non-zero diagonal components of the energy-momentum tensor.
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Saha, B. Bianchi type-II cosmological model: some remarks. centr.eur.j.phys. 9, 939–941 (2011). https://doi.org/10.2478/s11534-011-0017-4
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DOI: https://doi.org/10.2478/s11534-011-0017-4