Continuous Self-Similarity and $S$-Duality

Details Continuous Self-Similarity and $S$-Duality Continuous Self-Similarity and $S$-Duality

1995-11-06

arxiv.org/abs/gr-qc/9511024v2

Class.Quant.Grav.13:2241-2254,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, harvmac, six figures uuencoded in separate file

Scientific paper

10.1088/0264-9381/13/8/017

We study the spherically symmetric collapse of the axion/dilaton system
coupled to gravity. We show numerically that the critical solution at the
threshold of black hole formation is continuously self-similar. Numerical and
analytical arguments both demonstrate that the mass scaling away from
criticality has a critical exponent of $\gamma = 0.264$.

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