Abstract
Relativistic spins (s >/ 1/2), nonzero mass equations are given which in an arbitrary curved space-time are internally consistent. By means of Riesz' integration method a representation theorem for the solution of Cauchy's problem, using the constraints of the Cauchy data on the initial hypersurface and suitable “Green's formulas,” is proved. Finally, a necessary and sufficient condition for the validity of Huygens' principle is stated from which it follows that only in space-times of constant curvature do the field equations satisfy Huygens' principle.
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Wünsch, V. Cauchy's problem and Huygens' principle for relativistic higher spin wave equations in an arbitrary curved space-time. Gen Relat Gravit 17, 15–38 (1985). https://doi.org/10.1007/BF00760104
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DOI: https://doi.org/10.1007/BF00760104