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.
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
1999
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), .
(doi:10.1103/PhysRevD.59.104012).
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: http://eprints.soton.ac.uk/id/eprint/29179
ISSN: 1550-7998
PURE UUID: 9cea150a-3477-4498-904e-7c0e0dfb22a0
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Date deposited: 07 Feb 2007
Last modified: 16 Mar 2024 03:15
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Author:
David Garfinkle
Author:
José M. Martin-Garcia
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