Universality and scaling in gravitational collapse of a massless scalar field

1993/01/04 by Matthew W. Choptuik · 1 voice · 31 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Cosmology and Gravitation Theories #Navier-Stokes equation solutions

paper · doi:10.1103/physrevlett.70.9

openalex publication_date 1993/01/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/25

Abstract

I summarize results from a numerical study of spherically symmetric collapse of a massless scalar field. I consider families of solutions, scrS[p], with the property that a critical parameter value, p^*, separates solutions containing black holes from those which do not. I present evidence in support of conjectures that (1) the strong-field evolution in the p\ensuremath→p^* limit is universal and generates structure on arbitrarily small spatiotemporal scales and (2) the masses of black holes which form satisfy a power law M_BH\ensuremath∝\ensuremath\Vertp-p^*\mathrm\ensuremath\Vert^\ensuremathγ, where \ensuremathγ\ensuremath\approxeq0.37 is a universal exponent.

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Discussions

• The "challenge" of Roy Kerr (repeating well-known and openly admitted caveats of the theorems, misinterpreting the maximal analytical extension of his own solution worked out by other people, and prov [stackexchange, 4 points]

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