Scaling of curvature in sub-critical gravitational collapse

Details Scaling of curvature in sub-critical gravitational collapse Scaling of curvature in sub-critical gravitational collapse

1998-02-24

arxiv.org/abs/gr-qc/9802061v2

Phys.Rev.D58:064024,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex, 2 figures, Discussion modified, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.58.064024

We perform numerical simulations of the gravitational collapse of a spherically symmetric scalar field. For those data that just barely do not form black holes we find the maximum curvature at the position of the central observer. We find a scaling relation between this maximum curvature and distance from the critical solution. The scaling relation is analogous to that found by Choptuik for black hole mass for those data that do collapse to form black holes. We also find a periodic wiggle in the scaling exponent.

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