Weakly trapped surfaces in asymptotically de Sitter spacetimes

Abstract

It is a standard fact that trapped or marginally trapped surfaces are not visible from conformal infinity, under the usual set of conditions on matter fields and the conformal completion, provided that the cosmological constant is non-positive. In this note we show that the situation is more delicate in the presence of a positive cosmological constant: we present examples of visible marginally trapped surfaces, and we provide a set of natural conditions which guarantee non-visibility.

arXiv comment9 pages, 4 figures; v2: figure corrected, references added. Version to appear in CQG

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Cited by in corpus (5)

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• Topology of Cosmological Black Holes
• Roads to topological censorship
• Rigidity and non-existence of spacelike submanifolds with causal mean curvature vector field in spacetimes and the Cauchy problem in General Relativity
• On complete trapped submanifolds in globally hyperbolic spacetimes