Perfect-fluid sources for the Levi-Civita metric

Physics

Scientific paper

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Scientific paper

A class of four static cylindrically symmetric perfect-fluid solutions is derived using a formulation given by Kramer. The solutions are regular and satisfy energy conditions inside cylinders of bounded radii at which the pressure vanishes. Matching to the exterior Levi-Civita metric is achieved and thus the solutions could represent cylindrical sources of gravitational fields.

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