Some solutions of the Einstein field equations for a dust source are given in explicit form. They are spatially homogeneous, irrotational, and anisotropic. They can be characterized as those spatially homogeneous expanding models that do not permit a simply transitive three‐parameter group of motions. The models are compared in detail with observations and with the Friedmann models. In a few instances slightly longer time scales are obtained with the present models than from the corresponding Friedmann models.

1.
See the review of matter solutions by J. Ehlers in the proceedings of the London (1965) Conference on General Relativity.
2.
L. Witten, Gravitation (John Wiley & Sons, Inc., New York, 1962), Chap. 11.
3.
A. S. Petrov, Einstein‐Raume (Akademie‐Verlag, Berlin, 1964). Cases 1 and 2 are classified as G4‐VIII and VII, respectively, by Petrov, pp. 60, 225, and 226.
4.
H.
Bondi
,
M. N.
107
,
401
(
1947
), and references listed there.
5.
Compare F. Pirani, Brandeis Lectures on General Relativity (Prentice‐Hall, Inc., Englewood Cliffs, New Jersey, 1964), Vol. 1, p. 321.
6.
Reference 3, p. 173.
7.
L. D. Landau and E. Lifshitz, Classical Theory of Fields (Addison‐Wesley Publishing Company, Inc., Reading, Massachusetts, 1962), p. 375.
8.
G. C. WcVittie, Encyclopedia of Physics (Springer‐Verlag, Berlin, 1959), Vol. LIII, p. 445.
9.
J. Kristian and R. K. Sachs, Ap. J., Feb. 1966.
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Raychaudhuri
,
Phys. Rev.
98
,
1123
(
1955
).
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