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Critical Behavior of Black Hole Formation in a Scalar Wave Collapse

Y. Oshiro, K. Nakamura, A. Tomimatsu

gr-qcarXiv:gr-qc/9402017

Abstract

We present a self-similar model of spherically symmetric collapse of a massless scalar field with a parameter p. The black hole formation is explicitly shown to occur only in the strong-field implosion of p >1. The field evolution in the critical limit p → 1 is compared with numerical results found by Choptuik.

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