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arXiv · 1611.05989

Axially symmetric, asymptotically flat vacuum metric with a naked singularity and closed timelike curves

Debojit Sarma·Faizuddin Ahmed·Mahadev Patgiri
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Abstract

We present an axially symmetric, asymptotically flat empty space solution of the Einstein field equations containing a naked singularity. The spacetime is regular everywhere except on the symmetry axis where it possess a true curvature singularity. The spacetime is of type D in the Petrov classification scheme and is locally isometric to the metrics of case IV in the Kinnersley classification of type D vacuum metrics. Additionally, the spacetime also shows the evolution of closed timelike curves (CTCs) from an initial hypersurface free from CTCs.

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Debojit Sarma, Faizuddin Ahmed, Mahadev Patgiri. 2016-11-18. Axially symmetric, asymptotically flat vacuum metric with a naked singularity and closed timelike curves. https://doi.org/10.1155/2016%2F2546186

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