Continuous Self-Similarity and $S$-Duality
General Relativity and Quantum Cosmology
2010-11-19 v2
Abstract
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 .
Cite
@article{arxiv.gr-qc/9511024,
title = {Continuous Self-Similarity and $S$-Duality},
author = {Rufus S. Hamade and James H. Horne and John M. Stewart},
journal= {arXiv preprint arXiv:gr-qc/9511024},
year = {2010}
}
Comments
17 pages, harvmac, six figures uuencoded in separate file