Analytic approximations to the spacetime of a critical gravitational collapse

Details Analytic approximations to the spacetime of a critical gravitational collapse Analytic approximations to the spacetime of a critical gravitational collapse

1996-01-09

arxiv.org/abs/gr-qc/9601009v1

Phys.Rev.D54:3792-3799,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, Revtex, 9 figures included with epsf

Scientific paper

10.1103/PhysRevD.54.3792

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.

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