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The naked singularity in the global structure of critical collapse spacetimes | | Andrei V. Frolov
; Ue-Li Pen
; | | Date: |
17 Jul 2003 | | Journal: | Phys.Rev. D68 (2003) 124024 | | Subject: | gr-qc astro-ph | | 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. | | Source: | arXiv, gr-qc/0307081 | | Services: | Forum | Review | PDF | Favorites | |
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