A cylindrically symmetric stationary solution of Einstein's equations describing a perfect fluid of finite radius

Physics

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Scientific paper

A two-parameter cylindrically symmetric solution of Einstein's equations is derived for a perfect fluid of finite radius in steady rigid-body rotation. The solution is physically well behaved, with the equation of state, µ + 3p = constant, without singularity and of regular axis. The spacetime is of Petrov type D. The metric is matched at the boundary by a vacuum solution, leaving one free parameter in the complete metric.

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