Cylindrically symmetric static solutions of the Einstein field equations for elastic matter
Brito, I. · Carot, J. · Mena, F. C. · Vaz, E. G. L. R.
Original · EN
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.
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