Cylindrically symmetric static solutions of the Einstein field equations for elastic matter
arXiv:1403.5684 · doi:10.1063/1.4769223
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 -vacuum exteriors given by the Linet-Tian spacetime.
18 pages, 6 figures
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Cited by in corpus (7)
- Cylindrical Systems in General Relativity
- Cylindrically Symmetric Models of Anisotropic Compact Stars
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- Rotating elastic string loops in flat and black hole spacetimes: stability, cosmic censorship and the Penrose process
- Geodesics dynamics in the Linet-Tian spacetime with Lambda>0
- Time-dependent Spinor field in a static cylindrically-symmetric space-time
- Rigid elastic solids in relativity