Naked singularity in the global structure of critical collapse spacetimes

Andrei V. Frolov and Ue-Li Pen
Phys. Rev. D 68, 124024 – Published 29 December 2003
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Abstract

We examine the global structure of scalar field critical collapse spacetimes using a characteristic double-null code. It can integrate past the horizon without any coordinate problems, due to the careful choice of constraint equations used in the evolution. The limiting sequence of sub- and supercritical spacetimes presents an apparent paradox in the expected Penrose diagrams, which we address in this paper. We argue that the limiting spacetime converges pointwise to a unique limit for all r>0, but not uniformly. The r=0 line is different in the two limits. We interpret that the two different Penrose diagrams differ by a discontinuous gauge transformation. We conclude that the limiting spacetime possesses a singular event, with a future removable naked singularity.

  • Received 18 July 2003

DOI:https://doi.org/10.1103/PhysRevD.68.124024

©2003 American Physical Society

Authors & Affiliations

Andrei V. Frolov* and Ue-Li Pen

  • Canadian Institute for Theoretical Astrophysics, University of Toronto, Toronto, Ontario, Canada, M5S 3H8

  • *Electronic address: frolov@cita.utoronto.ca
  • Electronic address: pen@cita.utoronto.ca

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Vol. 68, Iss. 12 — 15 December 2003

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