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

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. Furtherm...

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Bibliographic Details
Published in:Journal of mathematical physics 2012-12, Vol.53 (12), p.1
Main Authors: Brito, I., Carot, J., Mena, F. C., Vaz, E. G. L. R.
Format: Article
Language:English
Subjects:
Differential equations
Exact sciences and technology
Exteriors
Mathematical analysis
Mathematical methods in physics
Mathematical models
Mathematics
Nonlinearity
Numerical analysis
Ordinary differential equations
Particle physics
Physics
Sciences and techniques of general use
Symmetry
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Summary: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 Λ-vacuum exteriors given by the Linet-Tian spacetime.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4769223