2002/03/07 by W. Rudnicki, Wiesław Rudnicki, R. Budzyński +3
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Artificial intelligence #Black Holes and Theoretical Physics #Class (philosophy) #Computer science #Cosmic censorship hypothesis #Cosmology and Gravitation Theories #Curvature #Geodesic #Geometry #Gravitational singularity #Mathematical analysis #Mathematics #Naked singularity #Physics #Pure mathematics #Singularity #Theoretical physics #Type (biology) #gr-qc
paper · pdf · doi:10.1142/s021773230200659x
published as Mod.Phys.Lett. A17 (2002) 387-397 · LaTeX, 11 pages, no figures, to appear in Mod. Phys. Lett. A
openalex publication_date 2002/03/07 · arxiv created 2002/03/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A new definition of a strong curvature singularity is proposed. This definition is motivated by the definitions given by Tipler and Królak, but is significantly different and more general. All causal geodesics terminating at these new singularities, which we call generalized strong curvature singularities, are classified into three possible types; the classification is based on certain relations between the causal structure and the curvature strength of the singularities. A cosmic censorship theorem is formulated and proved which shows that only one class of generalized strong curvature singularities, corresponding to a single type of geodesics according to our classification, can be naked. Implications of this result for the cosmic censorship hypothesis are indicated.