Scale invariance and critical gravitational collapse

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.

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

References in corpus (1)

• Scaling of curvature in sub-critical gravitational collapse

Cited by in corpus (6)

• Critical phenomena in gravitational collapse
• Critical phenomena in gravitational collapse (Physics Reports)
• Numerical Approaches to Spacetime Singularities
• Critical phenomena in gravitational collapse - Living Reviews
• Unveiling horizons in quantum critical collapse
• Black Hole Critical Collapse in Infinite Dimensions: Continuous Self-Similar Solutions