Perturbations of an exact solution for (2+1) -dimensional critical collapse
Perturbations of an exact solution for (2+1) -dimensional critical collapse
We find the perturbation spectrum of a family of spherically symmetric and continuously self-similar (CSS) exact solutions that appear to be relevant for the critical collapse of scalar field matter in 2+1 spacetime dimensions. The rate of exponential growth of the unstable perturbation yields the critical exponent. Our results are compared to the numerical simulations of Pretorius and Choptuik and are inconclusive: We find a CSS solution with exactly one unstable mode, which suggests that it may be the critical solution, but another CSS solution which has three unstable modes fits the numerically found critical solution better.
044015-[4pp]
Garfinkle, David
86794cf0-092b-4631-88e1-f36cd9edb394
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
15 August 2002
Garfinkle, David
86794cf0-092b-4631-88e1-f36cd9edb394
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Garfinkle, David and Gundlach, Carsten
(2002)
Perturbations of an exact solution for (2+1) -dimensional critical collapse.
Physical Review D, 66 (4), .
(doi:10.1103/PhysRevD.66.044015).
Abstract
We find the perturbation spectrum of a family of spherically symmetric and continuously self-similar (CSS) exact solutions that appear to be relevant for the critical collapse of scalar field matter in 2+1 spacetime dimensions. The rate of exponential growth of the unstable perturbation yields the critical exponent. Our results are compared to the numerical simulations of Pretorius and Choptuik and are inconclusive: We find a CSS solution with exactly one unstable mode, which suggests that it may be the critical solution, but another CSS solution which has three unstable modes fits the numerically found critical solution better.
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Published date: 15 August 2002
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Local EPrints ID: 29190
URI: http://eprints.soton.ac.uk/id/eprint/29190
ISSN: 1550-7998
PURE UUID: 1a2224a2-8e08-4f23-8caa-8506d5ddb8c7
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Date deposited: 11 May 2006
Last modified: 16 Mar 2024 03:15
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Author:
David Garfinkle
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