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Global structure of Choptuik's critical solution in scalar field collapse | Jose M. Martin-Garcia
; Carsten Gundlach
; | Date: |
20 Apr 2003 | Journal: | Phys.Rev. D68 (2003) 024011 | Subject: | gr-qc | Abstract: | At the threshold of black hole formation in the gravitational collapse of a scalar field a naked singularity is formed through a universal critical solution that is discretely self-similar. We study the global spacetime structure of this solution. It is spherically symmetric, discretely self-similar, regular at the center to the past of the singularity, and regular at the past lightcone of the singularity. At the future lightcone of the singularity, which is also a Cauchy horizon, the curvature is finite and continuous but not differentiable. To the future of the Cauchy horizon the solution is not unique, but depends on a free function (the null data coming out of the naked singularity). There is a unique continuation with a regular center (which is self-similar). All other self-similar continuations have a central timelike singularity with negative mass. | Source: | arXiv, gr-qc/0304070 | Services: | Forum | Review | PDF | Favorites |
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