Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-04-05
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
50 pages, to appear in: Gravitation: Following the Prague Inspiration (To celebrate the 60th birthday of Jiri Bicak), eds. O.
Scientific paper
This article outlines the search for an exact general relativistic description of the exterior (vacuum) gravitational field of a rotating spheroidal black hole surrounded by a realistic axially symmetric disc of matter. The problem of multi-body stationary spacetimes is first exposed from the perspective of the relativity theory and astrophysics, listing the basic methods employed and results obtained. Then, basic formulas for stationary axisymmetric solutions are summarized. Remaining sections review what we have learnt with Miroslav Zacek and Tomas Zellerin about certain static and stationary situations recently. Although the survey part is quite general, the list of references cannot be complete. Our main desideratum was the informative value rather than originality -- novelties have been preferred, mainly reviews and those with detailed introductions.
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