A class of inhomogeneous cosmological models

Mathematics – Mathematical Physics

Scientific paper

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Scientific paper

All solutions of Einstein's field equations representing irrotational dust and possessing a metric of the form ds 2= dt 2- e 2α dr 2- e 2β( dy 2+ dz 2) are found. The new metrics generalize the earlier Bondi-Tolman, Eardley-Liang-Sachs, and Kantowski-Sachs cosmological models.

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