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An exact solution for 2+1 dimensional critical collapse

arXiv:gr-qc/0008023 · doi:10.1103/PhysRevD.63.044007

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