Cylindrical Gravitational News

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Abstract
The concepts of news function and mass aspect are generalized to a class of cylindrically symmetric metrics containing both degrees of freedom of the gravitational field. It is proved that the mass/unit length always decreases if there is any cylindrical news. The asymptotic behavior of the Riemann tensor in the cylindrical case is analyzed and a peeling theorem proved for this case. An example is given to show that asymptotic conditions on the metric or the Riemann tensor which are analogous to the conditions used in the asymptotically spherical case do not exclude certain infinite incoming radiation trains in the cylindrical case. Pure incoming and outgoing solutions are defined for the cylindrical case, and their generalization to the asymptotically spherical case is suggested. An exactly conserved quantity is shown to exist which may be the cylindrical analog of the ten exactly conserved quantities recently discovered by Newman and Penrose.

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