All stationary vacuum solutions with geodesic shearfree eigenrays.

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General Relativity: Black Holes

Scientific paper

The Kerr solution, which is the general vacuum black hole solution in general relativity, belongs to the class of geodesic shearfree eigenrays, but it is somehow isolated within the class. For better orientation in future Kerr generalisation one would like to map completely the σ = κ = 0 class. Therefore in this paper the authors methodically look for all possible subclasses of solutions in the said class, and explicitly treat their connections with each other.

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