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Angular momentum at the black hole threshold

Angular momentum at the black hole threshold
Angular momentum at the black hole threshold
Near the black hole threshold in phase space, the black hole mass as a function of the initial data shows the “critical scaling” M?C(p-p*)?, where p labels a family of initial data, p* is the value of p at the threshold, and the critical exponent ? is universal for a given matter model. The black hole charge Q obeys a similar law. To complete the picture, we include the angular momentum as a perturbation. For the black hole angular momentum L?, we find the oscillating behavior L??Re[(A?+iB?)(p-p*)?+i?]. The assumptions of the calculation hold for p=?/3 perfect fluid matter, and we calculate ??0.799 and ??0.231.
1550-7998
R7080-R7083
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc

Gundlach, Carsten (1998) Angular momentum at the black hole threshold. Physical Review D, 57 (12), R7080-R7083. (doi:10.1103/PhysRevD.57.R7080).

Record type: Article

Abstract

Near the black hole threshold in phase space, the black hole mass as a function of the initial data shows the “critical scaling” M?C(p-p*)?, where p labels a family of initial data, p* is the value of p at the threshold, and the critical exponent ? is universal for a given matter model. The black hole charge Q obeys a similar law. To complete the picture, we include the angular momentum as a perturbation. For the black hole angular momentum L?, we find the oscillating behavior L??Re[(A?+iB?)(p-p*)?+i?]. The assumptions of the calculation hold for p=?/3 perfect fluid matter, and we calculate ??0.799 and ??0.231.

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Published date: 1998
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Local EPrints ID: 29176
URI: http://eprints.soton.ac.uk/id/eprint/29176
DOI: doi:10.1103/PhysRevD.57.R7080
ISSN: 1550-7998
PURE UUID: 95666e7f-7c4b-43ab-90ef-1b2012c55124
ORCID for Carsten Gundlach: ORCID iD orcid.org/0000-0001-9585-5375

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Date deposited: 07 Feb 2007
Last modified: 16 Mar 2024 03:15

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Author: Carsten Gundlach ORCID iD

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