Anisotropic homogeneous cosmologies with perfect fluid and electric field.

Mathematics – Logic

Scientific paper

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Cosmological Models: Space-Time

Scientific paper

A new three-parameter family of cosmological models is found, which are solutions of Einstein-Maxwell equations in a space-time filled with electrically neutral stiff matter. They generalize an anisotropic homogeneous cosmology without electromagnetic field by Vajk and Eltgroth and support a conjecture about proportionality of electromagnetic four-potential of an Einstein-Maxwell solution and the Killing vector of a corresponding space-time with stiff matter. This conjecture turns out to be the clue to a new solution-generating method of Einstein-Maxwell fields with sources.

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