Angular momentum at the black hole threshold
Physical Review D, 57, (12), . (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*)?, 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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