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  On a class of consistent linear higher spin equations on curved manifolds

Frauendiener, J., & Sparling, G. A. J. (1999). On a class of consistent linear higher spin equations on curved manifolds. Journal of Geometry and Physics, 30, 54-101.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-58FF-0 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5900-2
Genre: Journal Article

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on a class of consistent.pdf (Publisher version), 459KB
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329797.pdf (Preprint), 459KB
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 Creators:
Frauendiener, Jörg1, Author
Sparling, George A. J., Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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 Abstract: We analyze a class of linear wave equations for odd half spin that have a well posed initial value problem. We demonstrate consistency of the equations in curved space-times. They generalize the Weyl neutrino equation. We show that there exists an associated invariant exact set of spinor fields indicating that the characteristic initial value problem on a null cone is formally solvable, even for the system coupled to general relativity. We derive the general analytic solution in flat space by means of Fourier transforms. Finally, we present a twistor contour integral description for the general analytic solution and assemble a representation of the group $O(4,4)$ on the solution space.

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Language(s): eng - English
 Dates: 1999
 Publication Status: Published in print
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 Identifiers: eDoc: 329797
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Title: Journal of Geometry and Physics
  Alternative Title : J.Geom.Phys.
Source Genre: Journal
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Pages: - Volume / Issue: 30 Sequence Number: - Start / End Page: 54 - 101 Identifier: -