On relativistic discs and rings
arXiv:astro-ph/9701071 · doi:10.1093/mnras/287.1.26
Abstract
Sequences of infinitesimally thin, uniformly rotating, self-gravitating relativistic discs with internal two-dimensional pressure have been constructed. It is shown that in weaker relativistic configurations the sequences undergo a continuous bifurcation from a disc to a ring structure, while in stronger relativistic cases the sequences terminate at the mass-shed limit where gravitational forces are exactly balanced by centrifugal forces.
arXiv comment9 pages, requires mn.sty and epsf.sty, 12 figures included, accepted by Monthly Notices of the Royal Astronomical Society