Analytic approximations to the spacetime of a critical gravitational collapse

Richard H. Price and Jorge Pullin
Phys. Rev. D 54, 3792 – Published 15 September 1996
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Abstract

We present analytic expressions that approximate the behavior of the spacetime of a collapsing spherically symmetric scalar field in the critical regime first discovered by Choptuik. We find that the critical region of spacetime can usefully be divided into a "quiescent," an "oscillatory," and a moving "transition" region. We find that in the quiescent and oscillatory regions the critical solution can be well approximated by a flat spacetime scalar field solution. A qualitative nonlinear matching of the solutions across the transition region yields the right order of magnitude for the oscillations of the discretely self-similar critical solution found by Choptuik.

  • Received 5 January 1996

DOI:https://doi.org/10.1103/PhysRevD.54.3792

©1996 American Physical Society

Authors & Affiliations

Richard H. Price

  • Department of Physics, University of Utah, Salt Lake City, Utah 84112

Jorge Pullin

  • Center for Gravitational Physics and Geometry, Department of Physics, 104 Davey Lab, The Pennsylvania State University, University Park, Pennsylvania 16802

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Vol. 54, Iss. 6 — 15 September 1996

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