Gravitational fields of rotating disks and black holes
arXiv:gr-qc/9912055 · doi:10.1002/(SICI)1521-3889(200005)9:3/5<335::AID-ANDP335>3.0.CO;2-D
Abstract
The two known exact solutions of Einstein's field equations describing rotating objects of physical significance - a black hole and a rigidly rotating disk of dust - are discussed using a single mathematical framework related to Jacobi's inversion problem. Both solutions can be represented in such a form that they differ in the choice of a complex parameter and a real solution of the axisymmetric Laplace equation only. A recently found family of solutions describing differentially rotating disks of dust fits into the same scheme.
7 pages, 2 figures. Talk presented at the "Journees Relativistes" in Weimar, September 1999. Submitted to Ann. Phys. (Leipzig)