Episodic Self-Similarity in Critical Gravitational Collapse

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

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.1670t&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

We report on a new behavior found in numerical simulations of spherically symmetric gravitational collapse in self-gravitating SU(2) σ 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. The critical solution is also approximately discretely self-similar (DSS) throughout this whole process.

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