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

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.

18 pages, 6 figures

References in corpus (5)

• Cylindrical spacetimes with a cosmological constant and their sources
• Elastic stars in general relativity: IV. Axial perturbations
• The Linet-Tian solution with a positive cosmological constant in four and higher dimensions
• Deformation and crustal rigidity of rotating neutron stars
• Dynamics of Bianchi type I elastic spacetimes

Cited by in corpus (3)

• Cylindrically Symmetric Models of Anisotropic Compact Stars
• Geodesics dynamics in the Linet-Tian spacetime with Lambda<0
• Geodesics dynamics in the Linet-Tian spacetime with Lambda>0