Approximately self-similar critical collapse in 2+1 dimensions

Abstract

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 analyse 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.

5 pages, 2 figures, REVTeX style. Minor changes to match the version accepted for publication in PRD

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Cited by in corpus (10)

• Critical phenomena in gravitational collapse
• Scalar field critical collapse in 2+1 dimensions
• Unveiling horizons in quantum critical collapse
• A scenario for critical scalar field collapse in $Ad{S}_3$
• Critical spacetime crystals in continuous dimensions
• Homothetic Self-Similar Solutions of the Three-Dimensional Brans-Dicke Gravity
• Comment on `Critical scalar field collapse in AdS${}_3$: an analytical approach'
• Gravitational Collapse of Massless Scalar Field with Negative Cosmological Constant in (2+1) Dimensions
• Gravitational Collapse of a Massless Scalar Field and a Perfect Fluid with Self-Similarity of the First Kind in (2+1) Dimensions
• Perturbed Self-Similar Massless Scalar Field in Spherically Symmetric Spaceimes