Solution of the Field Equations for a Steady-State Cosmology in a Closed Space

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Scientific paper

We present equations which describe a steady-state universe in which space is not homogeneous and isotropic, but spherically symmetric around a point near us. We obtain a solution for a closed space with a metric which is smooth everywhere. The vacuum is unstable and continuously creates matter in one hemisphere. This material travels to the other hemisphere where it is absorbed back into the vacuum. The solution is compared to two steady-state models and to the standard model. Key words: gravitation - relativity - cosmology: theory.

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