Phys. Rev. D 70, 044010 (2004) [5 pages]Approximately self-similar critical collapse in 2+1 dimensionsReceived 13 April 2004; published 10 August 2004 Critical collapse of a self-gravitating scalar field in a (2+1)-dimensional spacetime with negative cosmological constant seems to be dominated by a continuously self-similar solution of the field equations without cosmological constant. However, previous studies of linear perturbations in this background were inconclusive. We extend the continuously self-similar solutions to solutions of the field equations with negative cosmological constant, and analyze their linear perturbations. The extended solutions are characterized by a continuous parameter. A suitable choice of this parameter seems to improve the agreement with the numerical results. We also study the dynamics of the apparent horizon in the extended background. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.70.044010
DOI:
10.1103/PhysRevD.70.044010
PACS:
04.20.-q, 04.25.-g, 04.40.-b
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