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arxiv: gr-qc/9412008 · v1 · pith:DAZFP453new · submitted 1994-12-02 · 🌀 gr-qc

Choptuik scaling in null coordinates

classification 🌀 gr-qc
keywords choptuikalgorithmcriticalnulladaptivecollapsecoordinateseinstein-scalar
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A numerical simulation is performed of the gravitational collapse of a spherically symmetric scalar field. The algorithm uses the null initial value formulation of the Einstein-scalar equations, but does {\it not} use adaptive mesh refinement. A study is made of the critical phenomena found by Choptuik in this system. In particular it is verified that the critical solution exhibits periodic self-similarity. This work thus provides a simple algorithm that gives verification of the Choptuik results.

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