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Prog. Theor. Phys. Vol. 91 No. 6 (1994) pp. 1265-1270

[ Full Text PDF : FREE ACCESS (547K) ]

Letters

Critical Behavior of Black Hole Formation in a Scalar Wave Collapse

Yoshimi Oshiro, Kouji Nakamura and Akira Tomimatsu

Department of Physics, Nagoya University, Nagoya 464-01

(Received November 15, 1993)

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 implosin of p > 1. The field evolution in the critical limit p →1 is compared with numerical results found by Choptuik.


URL : http://ptp.ipap.jp/link?PTP/91/1265/
DOI : 10.1143/PTP.91.1265

[ Full Text PDF : FREE ACCESS (547K) ] Citation:

References:

  1. D. Chirstodoulou, Commun. Math. Phys. 109 (1987), 613[CrossRef]; 106 (1986), 587; 105 (1986), 337.
    D. S. Goldwirth and T. Piran, Phys. Rev. D36 (1987), 3575[APS].
  2. M. W. Choptuik, Phys. Rev. Lett. 70 (1993), 9[APS].
  3. A. M. Abrahams and C. R. Evans, Phys. Rev. Lett. 70 (1993), 2980[APS].
  4. S. A. Hayward, Class. Quantum Gravit. 10 (1993), 985[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 96 No. 3 (1996) pp. 567-574 :
    Critical Behavior in the Brans-Dicke Theory of Gravitation
    Takeshi Chiba and Jiro Soda

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