Global structure of Choptuik's critical solution in scalar field collapse
Global structure of Choptuik's critical solution in scalar field collapse
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 light cone of the singularity. At the future light cone 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.
024011-[25pp]
Martín-García, José M.
4d46af63-2651-477e-b0f0-67245eba67f0
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
2003
Martín-García, José M.
4d46af63-2651-477e-b0f0-67245eba67f0
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Martín-García, José M. and Gundlach, Carsten
(2003)
Global structure of Choptuik's critical solution in scalar field collapse.
Physical Review D, 68 (2), .
(doi:10.1103/PhysRevD.68.024011).
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 light cone of the singularity. At the future light cone 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.
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Published date: 2003
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Local EPrints ID: 29194
URI: http://eprints.soton.ac.uk/id/eprint/29194
ISSN: 1550-7998
PURE UUID: 10433e44-51d6-4876-860d-1d9f3073e5cf
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Date deposited: 12 May 2006
Last modified: 16 Mar 2024 03:15
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Author:
José M. Martín-García
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