Exact solutions for discs around stationary black holes
Abstract
Black holes surrounded by axisymmetric structures prosper in some of the most interesting sources in the universe. However, a consistent exact description of the gravitational field of these systems is still lacking. In a static case, the task reduces to Laplace equation and the fields of multiple sources follow by mere superposition. In a rotating case, non-linearity of the Einstein equations resists simple grasp, but even then the theory of completely integrable systems seems to verge on satisfactory solutions. It seeks them in terms of θ-functions on special manifolds connected - symptomatically - with the names of Riemann and Hilbert.
- Publication:
-
Black Holes from Stars to Galaxies -- Across the Range of Masses
- Pub Date:
- April 2007
- DOI:
- 10.1017/S1743921307005819
- Bibcode:
- 2007IAUS..238..433P
- Keywords:
-
- Accretion disks;
- black hole physics;
- gravitation;
- relativity