Equilibrium configuration of black holes and the inverse scattering method.
Abstract
The inverse scattering method is applied to the investigation of the equilibrium configuration of black holes. A study of the boundary problem corresponding to this configuration shows that any axially symmetric, stationary solution of the Einstein equations with disconnected event horizons must belong to the class of Belinskii-Zakharov solutions. Relationships between the angular momenta and angular velocities of black holes are derived.
- Publication:
-
Theoretical and Mathematical Physics
- Pub Date:
- June 1997
- DOI:
- 10.1007/BF02634055
- arXiv:
- arXiv:gr-qc/0004073
- Bibcode:
- 1997TMP...111..667V
- Keywords:
-
- Black Holes: Equilibria;
- General Relativity and Quantum Cosmology
- E-Print:
- LaTeX, 14 pages, no figures