Abstract
We analyze the consequences of a power-law ansatz for the metric coefficients of diagonalizable perfect fluid cosmological solutions which admit a 2-dimensional isometry group. It is noted that a condition on the power-law exponents is identical to one of the constraints on the exponents of the Kasner vacuum solution. All possible solutions are classified, and those obeying the Kasner condition in two variables are studied in detail. It is shown that in general they represent tilted stiff perfect fluid solutions. The Kasner condition is applied to a metric with one Killing vector, and an apparently new perfect fluid solution obtained. Successes and difficulties in applying invariant classification to the G 2 and G 1 solutions are discussed.
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