Angular momentum at the black hole threshold
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(pp_{*})^{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>)(pp_{*})^{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.
 Publication:

Physical Review D
 Pub Date:
 June 1998
 DOI:
 10.1103/PhysRevD.57.R7080
 arXiv:
 arXiv:grqc/9711079
 Bibcode:
 1998PhRvD..57.7080G
 Keywords:

 04.70.Bw;
 04.25.Dm;
 04.40.Nr;
 Classical black holes;
 Numerical relativity;
 EinsteinMaxwell spacetimes spacetimes with fluids radiation or classical fields;
 General Relativity and Quantum Cosmology
 EPrint:
 4 pages, Revtex. Abbreviated version, using simpler notation