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23 February 2020
  » arxiv » gr-qc/9511036

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On a class of consistent linear higher spin equations on curved manifolds
Jörg Frauendiener ; George A. J. Sparling ;
Date 11 Nov 1995
Journal J.Geom.Phys. 30 (1999) 54-101
Subject gr-qc
AffiliationMax-Planck-Institut für Gravitationsphysik) and George A. J. Sparling (Department of Mathematics and Statistics, University of Pittsburgh
AbstractWe 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.
Source arXiv, gr-qc/9511036
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