DOI: 10.1063/5.0357618 ISSN: 0022-2488

On uniqueness of non-vacuum stationary axisymmetric type D spacetime

Hiroaki Nakajima, Ya Guo, Wenbin Lin
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We study a class of the non-vacuum stationary axisymmetric type D metrics, whose two principal null directions are geodesic and shearfree. It is demonstrated that the most general form of this class is given by the conformal-to-Carter metric and a few degenerated metrics which is related to the conformal-to-Carter one by some singular transformations. This result is obtained without imposing any additional assumptions beyond those intrinsic to the definition of the class.

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