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Phys. Rev. D 55, 687–694 (1997)

Behavior of Einstein-Rosen waves at null infinity

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Abhay Ashtekar
Center for Gravitational Physics and Geometry, Department of Physics, Penn State, University Park, Pennsylvania 16802

Jiří Bičák
Department of Theoretical Physics, Charles University, V Holešovičkách 2, 180 00 Prague 8, Czech Republic

Bernd G. Schmidt
Max-Planck-Institut für Gravitationsphysik, Schlaatzweg 1, 14473 Potsdam, Germany

Received 1 August 1996; published in the issue dated 15 January 1997

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

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.55.687
DOI:
10.1103/PhysRevD.55.687
PACS:
04.20.Ha, 04.20.Jb, 04.30.Nk