An exact solution for 2+1 dimensional critical collapse

Abstract

We find an exact solution in closed form for the critical collapse of a scalar field with cosmological constant in 2+1 dimensions. This solution agrees with the numerical simulation done by Pretorius and Choptuik of this system.

5 pages, 5 figures, Revtex. New comparison of analytic and numerical solutions beyond the past light cone of the singularity added. Two new references added. Error in equation (21) corrected

References in corpus (3)

• Gravitational collapse in 2+1 dimensional AdS spacetime
• Gott Time Machines, BTZ Black Hole Formation, and Choptuik Scaling
• Choptuik scaling in six dimensions

Cited by in corpus (40)

• Critical phenomena in gravitational collapse
• Choptuik Scaling and Quasinormal Modes in the AdS/CFT Correspondence
• Critical phenomena in gravitational collapse (Physics Reports)
• Numerical Approaches to Spacetime Singularities
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• Critical Collapse of Cylindrically Symmetric Scalar Field in Four-Dimensional Einstein's Theory of Gravity
• Cylindrical Systems in General Relativity
• Global structure of Choptuik's critical solution in scalar field collapse
• Collapse of a Scalar Field in 2+1 Gravity
• The Role of Angular Momentum and Cosmic Censorship in the (2+1)-Dimensional Rotating Shell Collapse
• Gravitationally Collapsing Shells in (2+1) Dimensions
• Dimension-Dependence of the Critical Exponent in Spherically Symmetric Gravitational Collapse
• Gravitational Collapse of Self-Similar Perfect Fluid in 2+1 Gravity
• Critical collapse in 2+1 dimensional AdS spacetime: quasi-CSS solutions and linear perturbations
• Dynamical formation and evolution of (2+1)-dimensional charged black holes
• Quasinormal Modes and Choptuik Scaling in the Near Extremal Reissner-Nordstr{ö} Black Hole
• Perturbations of an exact solution for 2+1 dimensional critical collapse
• Scalar field critical collapse in 2+1 dimensions
• Moving Closer to the Collapse of a Massless Scalar Field in Spherically Symmetric Anti-de Sitter Spacetimes
• Analytical treatment of critical collapse in 2+1 dimensional AdS spacetime: a toy model
• Critical scalar field collapse in AdS_3: an analytic approach
• Approximately self-similar critical collapse in 2+1 dimensions
• Self-Similar Collapse of Scalar Field with Plane Symmetry
• Critical collapse of a rotating scalar field in $2+1$ dimensions
• Three Dimensional Gravity in the Presence of Scalar Fields
• Formation of Three-Dimensional Black Strings from Gravitational Collapse of Dust Cloud
• An Exact Solution for Static Scalar Fields Coupled to Gravity in $(2+1)$-Dimensions
• Unveiling horizons in quantum critical collapse
• Perturbed Self-Similar Massless Scalar Field in the Spacetimes with Circular Symmetry in 2+1 Gravity
• Quantum Critical Collapse Abhors a Naked Singularity
• Dynamics of Nonlinear Waves on Bounded Domains
• Charged star in (2+1)-dimensional gravity
• Homothetic Self-Similar Solutions of the Three-Dimensional Brans-Dicke Gravity
• Comment on `Critical scalar field collapse in AdS${}_3$: an analytical approach'
• A scenario for critical scalar field collapse in $Ad{S}_3$
• Critical spacetime crystals in continuous dimensions
• Gravitational Collapse of a Massless Scalar Field and a Perfect Fluid with Self-Similarity of the First Kind in (2+1) Dimensions
• Naked singularities in three-dimensions
• Report on GRG18, Session A3, Mathematical Studies of the Field Equations
• Perturbed Self-Similar Massless Scalar Field in Spherically Symmetric Spaceimes