Behavior of Einstein-Rosen Waves at Null Infinity

Details Behavior of Einstein-Rosen Waves at Null Infinity Behavior of Einstein-Rosen Waves at Null Infinity

1996-08-16

arxiv.org/abs/gr-qc/9608041v1

Phys.Rev. D55 (1997) 687-694

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, REVETEX, CGPG-96/5-2

Scientific paper

10.1103/PhysRevD.55.687

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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