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Cylindrically Symmetric, Static, Perfect-Fluid Solutions of Einstein's Field Equations

M. Sharif
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Abstract

Perfect-fluid, static, cylindrically symmetric solutions of Einstein's field equations are obtained for the equations of state $ρ+3p=0$ and $ρ=p$. In the former case, the density and the pressure turn out to be constant while in the later case, they depend on the radial parameter $r$. Evan's solution corresponding to the equation of state $ρ=p$ is included in the solutions discussed here.

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M. Sharif. 2007-02-08. Cylindrically Symmetric, Static, Perfect-Fluid Solutions of Einstein's Field Equations. https://arxiv.org/abs/gr-qc/0702045

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