New metrics for spinning spheroids in general relativity

The quaternionic version of the Ernst formalism is used to propose an alternative generalization of the Zipoy–Voorhees metric that represents spinning spheroids. Rotating discs and their superposition that generalize the static Curzon solution arises as a particular member of the class. Some features are different from the well-known Kerr and Tomimatsu–Sato solutions.

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