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

F. J. Chinea
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Abstract

A new first integral for the equations corresponding to twisting type-N vacuum gravitational fields with two non-commuting Killing 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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F. J. Chinea. 1998-01-05. New first integral for twisting type-N vacuum gravitational fields with two non-commuting Killing vectors. https://doi.org/10.1088/0264-9381%2F15%2F2%2F011

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