1998/06/11 by S. S. Deshingkar, Sanjay Jhingan, S. Jhingan +2
Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmic censorship hypothesis #Cosmology and Gravitation Theories #De Sitter universe #General relativity #Geodesic #Geometry #Gravitational collapse #Gravitational singularity #Initial singularity #Naked singularity #Physics #Quantum mechanics #Ring singularity #Singularity #Singularity theory #Theoretical physics #Universe #White hole #gr-qc
paper · pdf · doi:10.1023/a:1018813108516
published as Gen.Rel.Grav. 30 (1998) 1477-1499 · Latex file, 32 pages, 12 postscript figures. To appear in the Journal of General Relativity and Gravitation
arxiv created 1998/06/11 · openalex publication_date 1998/10/01 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We analyze here the issue of local versus the global visibility of a singularity that forms in gravitational collapse of a dust cloud, which has important implications for the weak and strong versions of the cosmic censorship hypothesis. We find conditions as to when a singularity will be only locally naked, rather than being globally visible, thus preseving the weak censorship hypothesis. The conditions for formation of a black hole or naked singularity in the Szekeres quasi-spherical collapse models are worked out. The causal behaviour of the singularity curve is studied by examining the outgoing radial null geodesics, and the final outcome of collapse is related to the nature of the regular initial data specified on an initial hypersurface from which the collapse evolves. An interesting feature that emerges is the singularity in Szekeres spacetimes can be ``directionally naked''.