Gravitational fields of rotating disks and black holes

Details Gravitational fields of rotating disks and black holes Gravitational fields of rotating disks and black holes

1999-12-14

arxiv.org/abs/gr-qc/9912055v1

Annalen Phys.9:335,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 2 figures. Talk presented at the "Journees Relativistes" in Weimar, September 1999. Submitted to Ann. Phys. (Leipzig)

Scientific paper

10.1002/(SICI)1521-3889(200005)9

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.

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