Universal Scaling and Echoing in Gravitational Collapse of a Complex Scalar Field
Abstract
This paper studies gravitational collapse of a complex scalar field at the threshold for black hole formation, assuming that the collapse is spherically symmetric and continuously self-similar. A new solution of the coupled Einstein-scalar field equations is derived, after a small amount of numerical work with ordinary differential equations. The universal scaling and echoing behavior discovered by Choptuik in spherically symmetrical gravitational collapse appear in a somewhat different form. Properties of the endstate of the collapse are derived: The collapse leaves behind an irregular outgoing pulse of scalar radiation, with exactly flat spacetime within it.
Keywords
Cite
@article{arxiv.gr-qc/9412066,
title = {Universal Scaling and Echoing in Gravitational Collapse of a Complex Scalar Field},
author = {Eric W. Hirschmann and Douglas M. Eardley},
journal= {arXiv preprint arXiv:gr-qc/9412066},
year = {2016}
}
Comments
21 pages, uses macro jnl.tex as in archive; 5 figures, available uuencoded in archive, or at ftp://ftp.itp.ucsb.edu/figures/nsf-itp-94-119.ps