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Gravitational collapse of radiation in an anti-de Sitter background isstudied. For the spherical case, the collapse proceeds in much the same way asin the Minkowski background, i.e., massless naked singularities may form for ahighly inhomogeneous collapse, violating the cosmic censorship, but not thehoop conjecture. The toroidal, cylindrical and planar collapses can be treatedtogether. In these cases no naked singularity ever forms, in accordance withthe cosmic censorship. However, since the collapse proceeds to form toroidal,cylindrical or planar black holes, the hoop conjecture in an anti-de Sitterspacetime is violated.Comment: 4 pages, Revtex Journal: to appear in Physical Review

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