%0 Journal Article
%A Chinea Trujillo, Francisco Javier
%T Twisting, type-N  vacuum gravitational fields with symmetries
%D 1988
%@ 0556-2821
%U https://hdl.handle.net/20.500.14352/59478
%X The Einstein field equations for twisting, type-N fields in empty space possessing two noncommuting Killing vectors are reduced to a single second-order ordinary differential equation for a complex function. Alternative forms of this basic equation are also presented; in particular, an appropriate Legendre transform provides a partial linearization, leading to a single real, nonlinear, third-order ordinary differential equation.
%~