A cylindrically symmetric, static anisotropic fluid spacetime and the naked singularity

Faizuddin Ahmed; Farook Rahaman

doi:10.1155/2018/7839619

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arXiv · 1804.01006

A cylindrically symmetric, static anisotropic fluid spacetime and the naked singularity

Faizuddin Ahmed·Farook Rahaman

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Abstract

In this article, a cylindrical symmetry and static solution of the Einstein's field equations, was presented. The space-time is conformally flat, regular everywhere except on the symmetry axis where it possesses a naked curvature singularity. The matter-energy source anisotropic fluids violates the weak energy condition (WEC), diverge on the symmetry axis. We discuss geodesics motion of free test-particles near to the singularity, and geodesic expansion in the metric to understand the nature of singularity which is naked or covered, and finally the C-energy of the space-time.

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Faizuddin Ahmed, Farook Rahaman. 2018-04-02. A cylindrically symmetric, static anisotropic fluid spacetime and the naked singularity. https://doi.org/10.1155/2018%2F7839619

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