Angular momentum at the black hole threshold

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


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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*)γ, where p labels a family of initial data, p* is the value of p at the threshold, and the critical exponent γ 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*)μ+iω]. The assumptions of the calculation hold for p=ρ/3 perfect fluid matter, and we calculate μ≃0.799 and ω≃0.231.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1103/PhysRevD.57.R7080
Related URLs:
Subjects: Q Science > QB Astronomy
Q Science > QA Mathematics
Q Science > QC Physics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
ePrint ID: 29176
Date Deposited: 07 Feb 2007
Last Modified: 06 Aug 2015 02:29

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