NUT-like generalization of axisymmetric gravitational fields

The complex potential formulation of the axisymmetric problem discussed by Ernst enables us to construct new solutions from a given one, by multiplying the corresponding potential by a unit complex number. This rotation introduces naturally the NUT parameter in the metric. The generalized Kerr, Weyl, and Tomimatsu-Sato solutions are explicity constructed. Copyright © 1975 American Institute of Physics.