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Advances in High Energy Physics
Volume 2017, Article ID 3587018, 7 pages
Research Article

Axially Symmetric Null Dust Space-Time, Naked Singularity, and Cosmic Time Machine

Hindustani Kendriya Vidyalaya, Dinesh Ojha Road, Guwahati 781005, India

Correspondence should be addressed to Faizuddin Ahmed; moc.liamg@51demhanidduziaf

Received 5 April 2017; Accepted 14 May 2017; Published 12 June 2017

Academic Editor: Torsten Asselmeyer-Maluga

Copyright © 2017 Faizuddin Ahmed. 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.


We present a gravitational collapse null dust solution of the Einstein field equations. The space-time is regular everywhere except on the symmetry axis where it possesses a naked curvature singularity and admits one parameter isometry group, a generator of axial symmetry along the cylinder which has closed orbits. The space-time admits closed timelike curves (CTCs) which develop at some particular moment in a causally well-behaved manner and may represent a Cosmic Time Machine. The radial geodesics near the singularity and the gravitational lensing (GL) will be discussed. The physical interpretation of this solution, based on the study of the equation of the geodesic deviation, will be presented. It was demonstrated that this solution depends on the local gravitational field consisting of two components with amplitudes and .