Class of stationary axisymmetric solutions of Einstein’s equations in empty space

We present a stationary axisymmetric solution of the Einstein vacuum equations which could represent the exterior gravitational field of a rotating mass. The solution possesses all multipole moments, the Zipoy-Voorhees parameter, and two arbitrary parameters resulting from two rank-zero Hoenselaers-Kinnersley-Xanthopoulos transformations.

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