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Naked singularities in Tolman–Bondi–de Sitter collapse

Gonçalves, Sérgio M. C. V. (2001) Naked singularities in Tolman–Bondi–de Sitter collapse. Physical Review D, 63 (6). Art. no. 064017. ISSN 2470-0010. doi:10.1103/PhysRevD.63.064017.

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We study the formation of central naked singularities in spherical dust collapse with a cosmological constant. We find that the central curvature singularity is locally naked, Tipler strong, and generic, in the sense that it forms from a non-zero-measure set of regular initial data. We also find that the Weyl and Ricci curvature scalars diverge at the singularity, with the former dominating over the latter, thereby indicating the non-local origin of the singularity.

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Additional Information:©2001 The American Physical Society (Received 6 October 2000; published 14 February 2001) I am grateful to P. Brady and K. Thorne for useful discussions, and to S. Jhingan, P. Joshi, A. Krasin´ski, and K. Lake for comments on the manuscript. This work was supported by FCT (Portugal) Grant PRAXIS XXI-BPD-16301-98, and by NSF Grant AST-9731698.
Issue or Number:6
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1232
Deposited By: Archive Administrator
Deposited On:05 Jan 2006
Last Modified:08 Nov 2021 19:08

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