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 similar or equal to C(p-p*)(gamma), where p labels a family of initial data, p* is the value of p at the threshold, and the critical exponent gamma 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) over right arrow, we find the oscillating behavior (L) over right arrow similar or equal to Re[((A) over left arrow + i (B) over right arrow)(p-p*)(mu+i omega)]. The assumptions of the calculation hold for p=rho/3 perfect fluid matter, and we calculate mu similar or equal to 0.799 and omega similar or equal to 0.231.