Critical Exponents and Stability at the Black Hole Threshold for a Complex Scalar Field
General Relativity and Quantum Cosmology
2009-10-28 v3
Abstract
This paper continues a study on Choptuik scaling in gravitational collapse of a complex scalar field at the threshold for black hole formation. We perform a linear perturbation analysis of the previously derived complex critical solution, and calculate the critical exponent for black hole mass, . We also show that this critical solution is unstable via a growing oscillatory mode.
Cite
@article{arxiv.gr-qc/9506078,
title = {Critical Exponents and Stability at the Black Hole Threshold for a Complex Scalar Field},
author = {Eric W. Hirschmann and Douglas M. Eardley},
journal= {arXiv preprint arXiv:gr-qc/9506078},
year = {2009}
}
Comments
15 pages of latex/revtex; added details of numerics, in press in Phys Rev D; 1 figure included, or available by anonymous ftp to ftp://ftp.itp.ucsb.edu/figures/nsf-itp-95-58.eps