1994/12/02 by David Garfinkle · 6 citations
Mathematics · Physics and Astronomy · #Applied mathematics #Artificial intelligence #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Einstein #Einstein equations #General relativity #Geometry #Gravitation #Gravitational field #Mathematics #Null (SQL) #Particle physics theoretical and experimental studies #Physics #Scalar (mathematics) #Scalar field #Scaling #Similarity (geometry) #Statistical physics #gr-qc
paper · pdf · doi:10.1103/physrevd.51.5558
published as Phys.Rev.D51:5558-5561,1995 · latex (revtex), 6 figures included in the file
arxiv created 1994/12/02 · openalex publication_date 1995/05/15 · arxiv updated 2010/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 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.