, Volume 41, Issue 1, pp 55-64

A class of inhomogeneous cosmological models

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Abstract

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

Communicated by J. Ehlers