Cosmological solutions of the Einstein-Yang equation and of the Einstein equation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cosmology, Einstein Equations, Gravitational Fields, Relativity, Homogeneity, Isotropy, Riemann Manifold, Stellar Structure, Universe

Scientific paper

Explicit expressions for a torsion-free interior solution of the Einstein-Yang equation in an ideal spin-less fluid are derived for the Robertson-Walker metric for a homogeneous and isotropic universe. Solutions of the Einstein field equation for the radiation-dominated phase of the early universe are found, and the relations between the cosmological solutions of the Einstein-Yang equations and corresponding solutions in general relativity are considered.

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