Echoing and scaling in Einstein-Yang-Mills critical collapse

Details Echoing and scaling in Einstein-Yang-Mills critical collapse Echoing and scaling in Einstein-Yang-Mills critical collapse

1996-10-30

arxiv.org/abs/gr-qc/9610069v2

Phys.Rev. D55 (1997) 6002-6013

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, Revtex, one important reference corrected

Scientific paper

10.1103/PhysRevD.55.6002

We confirm recent numerical results of echoing and mass scaling in the gravitational collapse of a spherical Yang-Mills field by constructing the critical solution and its perturbations as an eigenvalue problem. Because the field equations are not scale-invariant, the Yang-Mills critical solution is asymptotically, rather than exactly, self-similar, but the methods for dealing with discrete self-similarity developed for the real scalar field can be generalized. We find an echoing period Delta = 0.73784 +/- 0.00002 and critical exponent for the black hole mass gamma = 0.1964 +/- 0.0007.

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