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Perturbations of an exact solution for (2+1) -dimensional critical collapse

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.
1550-7998
044015-[4pp]
Garfinkle, David
86794cf0-092b-4631-88e1-f36cd9edb394
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
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), 044015-[4pp]. (doi:10.1103/PhysRevD.66.044015).

Record type: Article

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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More information

Published date: 15 August 2002

Identifiers

Local EPrints ID: 29190
URI: https://eprints.soton.ac.uk/id/eprint/29190
ISSN: 1550-7998
PURE UUID: 1a2224a2-8e08-4f23-8caa-8506d5ddb8c7
ORCID for Carsten Gundlach: ORCID iD orcid.org/0000-0001-9585-5375

Catalogue record

Date deposited: 11 May 2006
Last modified: 20 Jul 2018 00:34

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