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- Title
Axially Symmetric, Asymptotically Flat Vacuum Metric with a Naked Singularity and Closed Timelike Curves.
- Authors
Sarma, Debojit; Ahmed, Faizuddin; Patgiri, Mahadev
- 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.
- Subjects
SPACE-time symmetries; NAKED singularities (Cosmology); EINSTEIN field equations; SYMMETRY; ISOMETRICS (Mathematics)
- Publication
Advances in High Energy Physics, 2016, p1
- ISSN
1687-7357
- Publication type
Article
- DOI
10.1155/2016/2546186