Cylindrically Symmetric, Asymptotically Flat, Petrov Type D Spacetime with a Naked Curvature Singularity and Matter Collapse

Abstract EN

We present a cylindrically symmetric, Petrov type D, nonexpanding, shear-free, and vorticity-free solution of Einstein’s field equations.

The spacetime is asymptotically flat radially and regular everywhere except on the symmetry axis where it possesses a naked curvature singularity.

The energy-momentum tensor of the spacetime is that for an anisotropic fluid which satisfies the different energy conditions.

This spacetime is used to generate a rotating spacetime which admits closed timelike curves and may represent a Cosmic Time Machine.