English

An exact solution for 2+1 dimensional critical collapse

General Relativity and Quantum Cosmology 2009-10-31 v2

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.

Cite

@article{arxiv.gr-qc/0008023,
  title  = {An exact solution for 2+1 dimensional critical collapse},
  author = {David Garfinkle},
  journal= {arXiv preprint arXiv:gr-qc/0008023},
  year   = {2009}
}

Comments

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