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

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

1995-11-11

arxiv.org/abs/gr-qc/9511036v1

J.Geom.Phys. 30 (1999) 54-101

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

32 pages, REVTEX

Scientific paper

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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