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Choptuik scaling in null coordinates

David Garfinkle
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Abstract

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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David Garfinkle. 1994-12-02. Choptuik scaling in null coordinates. https://doi.org/10.1103/physrevd.51.5558

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