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Published November 7, 2001 | public
Journal Article Open

Strong curvature singularities in quasi-spherical asymptotically de Sitter dust collapse

Abstract

We study the occurrence, visibility, and curvature strength of singularities in dust-containing Szekeres spacetimes (which possess no Killing vectors) with a positive cosmological constant. We find that such singularities can be locally naked, Tipler strong and develop from a non-zero-measure set of regular initial data. When examined along timelike geodesics, the singularity's curvature strength is found to be independent of the initial data.

Additional Information

© 2001 IOP Publishing Ltd. Print publication: issue 21 (7 November 2001); received 5 June 2001, in final form 21 August 2001. Published 22 October 2001 It is a pleasure to thank J Barrow and K Thorne for helpful comments and discussions, and F Mena and B Nolan for privately communicating their recent results on geodesics in spherical collapse [45], which led to a correction in this manuscript. This work was supported by FCT (Portugal) grant PRAXIS XXI-BPD-16301-98, NSF grant AST-9731698 and by NSF grant PHY-0099568.

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August 21, 2023
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October 16, 2023