Analytic approximations to the spacetime of a critical gravitational collapse

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'' region and an ``oscillatory'' region, and a moving ``transition edge'' that separates the two regions. We find that in each region the critical solution can be well approximated by a flat spacetime scalar field solution. A qualitative nonlinear matching of the solutions across the edge yields the right order of magnitude for the oscillations of the discretely self-similar critical solution found by Choptuik.

12 pages, Revtex, 9 figures included with epsf

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• The Choptuik spacetime as an eigenvalue problem
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Cited by in corpus (7)

• Critical phenomena in gravitational collapse
• Critical phenomena in gravitational collapse (Physics Reports)
• Critical phenomena in gravitational collapse - Living Reviews
• Dynamics of critical collapse
• Unveiling horizons in quantum critical collapse
• New results on the dynamics of critical collapse
• Energy in critical collapse