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J.Bricmont A.Kupiainen (1994)
Renormalizing partial differential equationsarXiv: Chaotic Dynamics
P. Bizoń (1996)
How to Make a Tiny Black HolearXiv: General Relativity and Quantum Cosmology
Renormalisation group and critical behavior in gravitational collapse
C. Gundlach (1996)
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C. Gundlach, J. Martin-Garcia (1996)
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C.J.S. Clarke (1985)
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See also G. Lavrelashvili and D. Maison
S. Hod, T. Piran (1996)
Fine structure of Choptuik's mass scaling relationPhysical Review D, 55
(1906)
Choptuik, private communication
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 Δ = 0.73784 ± 0.00002 and a critical exponent for the black hole mass γ = 0.1964 ± 0.0007 .
Physical Review D – American Physical Society (APS)
Published: May 15, 1997
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