Particular exact inhomogeneous solution with matter and pressure

Mathematics – Logic

Scientific paper

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Cosmology, Einstein Equations, Ideal Fluids, Big Bang Cosmology, Stress Tensors

Scientific paper

Exact inhomogeneous cosmological-model solutions are derived for Einstein's equation for a perfect fluid. This study of the energy-momentum content of anisotropic nonhomogeneous space-time involves use of the stress-energy tensor for a perfect fluid; in addition, a time-dependent pressure term is included in the Einstein field equations to permit treatment of the case of a highly condensed universe of small radius. The cosmological-model solutions are intended to offer insight into the conditions under which this model may evolve into the Friedmann model.

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