English

Scale invariance and critical gravitational collapse

General Relativity and Quantum Cosmology 2016-08-25 v2

Abstract

We examine ways to write the Choptuik critical solution as the evolution of scale invariant variables. It is shown that a system of scale invariant variables proposed by one of the authors does not evolve periodically in the Choptuik critical solution. We find a different system, based on maximal slicing. This system does evolve periodically, and may generalize to the case of axisymmetry or of no symmetry at all.

Keywords

Cite

@article{arxiv.gr-qc/9806052,
  title  = {Scale invariance and critical gravitational collapse},
  author = {David Garfinkle and Ken Meyer},
  journal= {arXiv preprint arXiv:gr-qc/9806052},
  year   = {2016}
}

Comments

7 pages, 3 figures, Revtex, discussion modified to clarify presentation

R2 v1 2026-07-22T12:55:00.933Z