Behavior of Einstein-Rosen Waves at Null Infinity
arXiv:gr-qc/9608041 · doi:10.1103/PhysRevD.55.687
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.
16 pages, REVETEX, CGPG-96/5-2
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