Klein-Alfvén models in general relativity.

Physics

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General Relativity: Cosmology

Scientific paper

The author considers two simplified models of matter-antimatter universes in the general relativity. In model I, an equation of state is chosen to represent pure radiation at high densities and dust at low ones. In model II, periodic dust-radiation oscillations are prescribed externally. Analytical relations between density and cosmic time are obtained for both cases, and the scale factor as a function of time is found numerically for model II. Both models are qualitatively similar to standard relativistic ones and, as expected, have initial singularities.

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