Critical Exponents and Stability at the Black Hole Threshold for a Complex Scalar Field

Eric W. Hirschmann
(ehirsch@dolphin.physics.ucsb.edu)

Douglas M. Eardley
(doug@itp.ucsb.edu)

Comments: 14 pages of latex/revtex; 1 figure included, or by anonymous ftp to ftp://ftp.itp.ucsb.edu/figures/nsf-itp-95-58.eps

Report-no: NSF-ITP-95-58, gr-qc/9506078, Physical Review D52, 5850-5856 (1995)

Date: 29 Jun 1995

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, $\gamma \approx 0.387106$. We also show that this critical solution is unstable via a growing oscillatory mode.