Chinea Trujillo, Francisco Javier2023-06-202023-06-201998-020264-938110.1088/0264-9381/15/2/011https://hdl.handle.net/20.500.14352/59446© 1998 IOP Publishing Ltd. Financial support by Direccion General de Enseñánza Superior, Spain (Project PB95-0371) is gratefully acknowledged.A new first integral for the equations corresponding to twisting type-N vacuum gravitational fields with two non-commuting Kilting vectors is introduced. A new reduction of the problem to a complex second-order ordinary differential equation is given. Alternatively, the mentioned first integral can be used in order to provide a first integral of the second-order complex equation introduced in a previous treatment of the problem.engjournal articlehttp://dx.doi.org/10.1088/0264-9381/15/2/011http://iopscience.iop.orghttp://arxiv.org/pdf/gr-qc/9801008v1.pdfopen access51-73Física matemática