Abstract

Three additional (Petrov type I) metrics with parameter in the range 1<2 (p = (-1)µ, = constant) are given to complement the restricted range (3/2)<2 of a previous paper (Davidson W 1997 Class. Quantum Grav. 14 119), for a rigidly rotating, stationary, cylindrically symmetric, barotropic perfect fluid. These are for = (3/2), for 2(6+(3)1/2 )/11 (~1.41)<<(3/2), and for 1<<(4/3). As in the previous paper, the metrics are in terms of simple algebraic functions. The solutions are well behaved, free of singularity and with the pressure p and density µ, acceleration and spin, all finite and vanishing at radial infinity.

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