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Angular momentum near the black hole threshold in scalar field collapse

Angular momentum near the black hole threshold in scalar field collapse
Angular momentum near the black hole threshold in scalar field collapse
For the formation of a black hole in the gravitational collapse of a massless scalar field, we calculate a critical exponent that governs the black hole angular momentum for slightly non-spherical initial data near the black hole threshold. We calculate the scaling law by second-order perturbation theory. We then use the numerical results of a previous first-order perturbative analysis to obtain the numerical value ??0.76 for the angular momentum critical exponent. A quasi-periodic fine structure is superimposed on the overall power law.
1550-7998
1-5
Garfinkle, David
86794cf0-092b-4631-88e1-f36cd9edb394
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Martin-Garcia, José M.
98ce3629-0c09-4223-8098-40e64b22b837
Garfinkle, David
86794cf0-092b-4631-88e1-f36cd9edb394
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Martin-Garcia, José M.
98ce3629-0c09-4223-8098-40e64b22b837

Garfinkle, David, Gundlach, Carsten and Martin-Garcia, José M. (1999) Angular momentum near the black hole threshold in scalar field collapse. Physical Review D, 59 (104012), 1-5. (doi:10.1103/PhysRevD.59.104012).

Record type: Article

Abstract

For the formation of a black hole in the gravitational collapse of a massless scalar field, we calculate a critical exponent that governs the black hole angular momentum for slightly non-spherical initial data near the black hole threshold. We calculate the scaling law by second-order perturbation theory. We then use the numerical results of a previous first-order perturbative analysis to obtain the numerical value ??0.76 for the angular momentum critical exponent. A quasi-periodic fine structure is superimposed on the overall power law.

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Published date: 1999

Identifiers

Local EPrints ID: 29179
URI: https://eprints.soton.ac.uk/id/eprint/29179
ISSN: 1550-7998
PURE UUID: 9cea150a-3477-4498-904e-7c0e0dfb22a0
ORCID for Carsten Gundlach: ORCID iD orcid.org/0000-0001-9585-5375

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Date deposited: 07 Feb 2007
Last modified: 20 Jul 2018 00:34

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