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Phys. Rev. D 76, 104040 (2007) [11 pages]

Helical symmetry in linear systems

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Jiří Bičák1,2 and Bernd G. Schmidt2
1Institute of Theoretical Physics, Faculty of Mathematics Physics, Charles University, Prague, Czech Republic
2Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Golm, Germany

Received 21 March 2007; published 27 November 2007

We investigate properties of solutions of the scalar wave equation and Maxwell’s equations on Minkowski space with helical symmetry. Existence of local and global solutions with this symmetry is demonstrated with and without sources. The asymptotic properties of the solutions are analyzed. We show that the Newman-Penrose retarded and advanced scalars exhibit specific symmetries and generalized peeling properties.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.76.104040
DOI:
10.1103/PhysRevD.76.104040
PACS:
04.20.−q, 03.50.−z