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Advances in High Energy Physics
Volume 2016, Article ID 2546186, 4 pages
http://dx.doi.org/10.1155/2016/2546186
Research Article

Axially Symmetric, Asymptotically Flat Vacuum Metric with a Naked Singularity and Closed Timelike Curves

Department of Physics, Cotton College, Guwahati 781001, India

Received 17 August 2016; Revised 13 October 2016; Accepted 13 October 2016

Academic Editor: Luis A. Anchordoqui

Copyright © 2016 Debojit Sarma et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

We present an axially symmetric, asymptotically flat empty space solution of the Einstein field equations containing a naked singularity. The space-time is regular everywhere except on the symmetry axis where it possesses a true curvature singularity. The space-time 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 space-time also shows the evolution of closed timelike curves (CTCs) from an initial hypersurface free from CTCs.