Publication date: Jan 1981
Abstract:
Consideration is given to the evolution of stationary axisymmetric rotating Kerr naked singularities due to the accretion of matter from thin corotating disks. Within the framework of the Page-Thorne model of accretion disks, it is shown that the naked singularity must evolve towards an extreme black hole state provided sufficient mass is accreted. Analytical expressions for the time evolution of the Kerr naked singularity as a function of initial mass and angular momentum are then obtained for the cases of a constant accretion rate, an accretion rate proportional to black hole mass, and an accretion rate self-regulated at the critical rate. It is pointed out that for accretion in binary systems, singularities of mass less than 10 solar masses may be converted into black holes only for angular momentum very close to unity. Effects of the capture of the radiation emitted by the disk by the singularity or the disk itself and of changes in disk geometry at the later stages of black hole conversion are also considered
Authors:
Stuchlik, Z.;