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Some anisotropic spatially-homogeneous cosmological models with electromagnetic field

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Abstract

Considering Bianchi type-I metric, cosmological models of a perfect fluid with an electromagnetic field have been obtained, using a supplementary condition between the metric potentials. The four-current is either zero or space-like. The model has expanding and shearing but non-rotating fluid flow which is also geodetic. The requirement of positive conductivity imposes an additional restriction on the model. Various physical and mathematical properties of the model have been discussed.

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Singh, T., Srivastava, R.S. Some anisotropic spatially-homogeneous cosmological models with electromagnetic field. Astrophys Space Sci 159, 21–38 (1989). https://doi.org/10.1007/BF00640484

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