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New first integral for twisting type-N vacuum gravitation fields with two non-commuting Killing vectors

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1998-02
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IOP Publishing Ltd
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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.
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© 1998 IOP Publishing Ltd. Financial support by Direccion General de Enseñánza Superior, Spain (Project PB95-0371) is gratefully acknowledged.
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