Perfect-fluid sources for the Levi-Civita metric

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Relativity, Matching Of Solutions, Perfect Fluid, Static Fields

Scientific paper

Cylindrically symmetric perfect fluid solutions are derived for the Levi-Civita metric. The pressure P is finite. The matter density is greater than the stresses in the material. The solutions are inside cylinders of bounded radius at which the pressure vanishes. The range of σ, for which the sources have been matched to the Levi-Civeta metric is ∞> σ>0. The solutions are regular and satisfy energy conditions

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