Collapsing shells of radiation in anti–de Sitter spacetimes and the hoop and cosmic censorship conjectures

1998/12/22 by José P. S. Lemos, Jose' P. S. Lemos · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1103/physrevd.59.044020

published as Phys.Rev. D59 (1999) 044020 · 4 pages, Revtex Journal: to appear in Physical Review D

arxiv created 1998/12/22 · openalex publication_date 1999/01/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Gravitational collapse of radiation in an anti--de Sitter background is studied. For the spherical case, the collapse proceeds in much the same way as in the Minkowski background, i.e., massless naked singularities may form for a highly inhomogeneous collapse, violating the cosmic censorship, but not the hoop conjecture. The toroidal, cylindrical and planar collapses can be treated together. In these cases no naked singularity ever forms, in accordance with the cosmic censorship. However, since the collapse proceeds to form toroidal, cylindrical or planar black holes, the hoop conjecture in an anti--de Sitter spacetime is violated.

Citations

• Formation of naked singularities: The violation of cosmic censorship
• Black holes with unusual topology
• Cylindrical Black Hole in General Relativity

Cited by

• Higher dimensional dust collapse with a cosmological constant
• A reformulation of the hoop conjecture