2016/01/01 by Debojit Sarma, Faizuddin Ahmed, Mahadev Patgiri
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Axial symmetry #Black Holes and Theoretical Physics #Classical mechanics #Closed timelike curve #Curvature #Geometric Analysis and Curvature Flows #Geometry #Hypersurface #Killing vector field #Mathematical analysis #Mathematical physics #Mathematics #Naked singularity #Physics #Quantum field theory in curved spacetime #Quantum mechanics #Ring singularity #Schwarzschild radius #Singularity #Spacetime #Stationary spacetime #Symmetry (geometry) #Vacuum solution #gr-qc
paper · pdf · doi:10.1155/2016/2546186
8 pages, no figures
openalex publication_date 2016/01/01 · arxiv created 2016/11/18 · openalex created_date 2016/11/30 · arxiv updated 2017/04/26 · openalex updated_date 2026/08/05
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.