Episodic Self-Similarity in Critical Gravitational Collapse

Details Episodic Self-Similarity in Critical Gravitational Collapse Episodic Self-Similarity in Critical Gravitational Collapse

2000-12-12

arxiv.org/abs/gr-qc/0012043v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 2 pages including 1 postscript figure; uses World Scientific style file ws-p9-75x6-50.cls (enclosed); to appear in Proc

Scientific paper

We report on a new behavior found in numerical simulations of spherically symmetric gravitational collapse in self-gravitating SU(2) sigma models at intermediate gravitational coupling constants: The critical solution (between black hole formation and dispersion) closely approximates the continuously self-similar (CSS) solution for a finite time interval, then departs from this, and then returns to CSS again. This cycle repeats several times, each with a different CSS accumulation point. We have preliminary evidence that this same critical solution is also discretely self-similar (DSS) between the CSS episodes, but with an echoing period $\Delta$ which varies during the evolution.

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