Stationary cylindrically symmetric gravitational fields with differentially rotating perfect fluids

Physics

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Scientific paper

A wide family of stationary cylindrically symmetric gravitational fields with differentially rotating perfect fluids as a source are derived. Among them there are solutions given in terms of trigonometric, hyperbolic and Whittaker functions. A class of stationary cylindrically symmetric solutions with a rigidly rotating perfect fluid is derived. The reported metrics belong to the algebraically general Petrov type.

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