Astronomy and Astrophysics – Astronomy
Scientific paper
Jul 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gregr...9..597s&link_type=abstract
General Relativity and Gravitation, vol. 9, July 1978, p. 597-619.
Astronomy and Astrophysics
Astronomy
Black Holes (Astronomy), Relativity, Uniqueness Theorem, Coordinate Transformations, Einstein Equations, Space-Time Functions, Vacuum Effects
Scientific paper
A simple local geometric condition is given that is sufficient to restrict the possible variety of exterior fields of all stationary axisymmetric black hole spaces to depend only on a finite number of parameters. It is discussed how this condition could be used to gain insight into the nature of the Carter-Robinson uniqueness theorem. Also a new coordinate system is constructed for all stationary axially symmetric space-times possessing a bifurcate Killing horizon. It covers a whole neighborhood of the horizons and of the bifurcation axis and possesses special geometric properties that are easy to visualize. The Kerr metric together with its spin coefficients and Weyl tensor components are described in the new coordinates.
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