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.

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

References in corpus (5)

• Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid
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• Self-Similar Scalar Field Collapse: Naked Singularities and Critical Behaviour
• Universality and Scaling at the Onset of Quantum Black Hole Formation
• Discrete Self-Similiarity and Critical Point Behavior in Fluctuations About Extremal Black Holes

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