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.;