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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 | | Affiliation: | Max-Planck-Institut für Gravitationsphysik) and George A. J. Sparling (Department of Mathematics and Statistics, University of Pittsburgh | | 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. | | Source: | arXiv, gr-qc/9511036 | | Services: | Forum | Review | PDF | Favorites | |
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