Shell-focusing singularities in spherically symmetric self-similar spacetimes

B. Waugh and Kayll Lake
Phys. Rev. D 40, 2137 – Published 15 September 1989
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Abstract

We examine spherically symmetric self-similar spacetimes in comoving coordinates, subject to a monotonically increasing comoving time to the future, and find the necessary conditions for the formation of naked strong curvature shell-focusing singularities. The strength is shown to be persistent (not instantaneous). On the basis of eikonal perturbations along the associated Cauchy horizons we find no reason to suspect that the singularities are unstable.

  • Received 2 May 1989

DOI:https://doi.org/10.1103/PhysRevD.40.2137

©1989 American Physical Society

Authors & Affiliations

B. Waugh and Kayll Lake

  • Department of Physics, Queen's University at Kingston, Kingston, Ontario, Canada K7L 3N6

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Vol. 40, Iss. 6 — 15 September 1989

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