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Behavior of Einstein-Rosen Waves at Null Infinity

Abhay Ashtekar·Jiri Bicak·Bernd G. Schmidt
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Abstract

The asymptotic behavior of Einstein-Rosen waves at null infinity in 4 dimensions is investigated in {\it all} directions by exploiting the relation between the 4-dimensional space-time and the 3-dimensional symmetry reduction thereof. Somewhat surprisingly, the behavior in a generic direction is {\it better} than that in directions orthogonal to the symmetry axis. The geometric origin of this difference can be understood most clearly from the 3-dimensional perspective.

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Abhay Ashtekar, Jiri Bicak, Bernd G. Schmidt. 1996-08-16. Behavior of Einstein-Rosen Waves at Null Infinity. https://doi.org/10.1103/physrevd.55.687

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