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On parameters of the Levi-Civita solution

A. Z. Wang·M. F. A. da Silva·N. O. Santos
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Abstract

The Levi-Civita (LC) solution is matched to a cylindrical shell of an anisotropic fluid. The fluid satisfies the energy conditions when the mass parameter $σ$ is in the range $0 \le σ\le 1$. The mass per unit length of the shell is given explicitly in terms of $σ$, which has a finite maximum. The relevance of the results to the non-existence of horizons in the LC solution and to gauge cosmic strings is pointed out.

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A. Z. Wang, M. F. A. da Silva, N. O. Santos. 1996-10-23. On parameters of the Levi-Civita solution. https://doi.org/10.1088/0264-9381%2F14%2F8%2F033

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