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arXiv · 1403.5684

Cylindrically symmetric static solutions of the Einstein field equations for elastic matter

I. Brito·J. Carot·F. C. Mena·E. G. L. R. Vaz
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Abstract

The Einstein field equations are derived for a static cylindrically symmetric spacetime with elastic matter. The equations can be reduced to a system of two nonlinear ordinary differential equations and we present analytical and numerical solutions satisfying the dominant energy conditions. Furthermore, we show that the solutions can be matched at a finite radius to suitable $\Lambda$-vacuum exteriors given by the Linet-Tian spacetime.

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I. Brito, J. Carot, F. C. Mena, E. G. L. R. Vaz. 2014-03-22. Cylindrically symmetric static solutions of the Einstein field equations for elastic matter. https://doi.org/10.1063/1.4769223

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