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oai:docta.ucm.es:20.500.14352/594462023-08-28T10:21:51Zcom_20.500.14352_14col_20.500.14352_15

New first integral for twisting type-N vacuum gravitation fields with two non-commuting Killing vectors Chinea Trujillo, Francisco Javier 51-73 Física matemática © 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. Direccion General de Enseñánza Superior, Spain Depto. de Física Teórica Fac. de Ciencias Físicas TRUE pub 2023-06-20T19:15:17Z 2023-06-20T19:15:17Z 1998-02 journal article https://hdl.handle.net/20.500.14352/59446 0264-9381 10.1088/0264-9381/15/2/011 eng Project PB95-0371 open access application/pdf IOP Publishing Ltd