Universal Scaling and Echoing in Gravitational Collapse of a Complex Scalar Field

Details Universal Scaling and Echoing in Gravitational Collapse of a Complex Scalar Field Universal Scaling and Echoing in Gravitational Collapse of a Complex Scalar Field

1994-12-21

arxiv.org/abs/gr-qc/9412066v1

Phys.Rev. D51 (1995) 4198-4207

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, uses macro jnl.tex as in archive; 5 figures, available uuencoded in archive, or at ftp://ftp.itp.ucsb.edu/figures/ns

Scientific paper

10.1103/PhysRevD.51.4198

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.

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