Cauchy's problem and Huygens' principle for relativistic higher spin wave equations in an arbitrary curved space-time.

Details Cauchy's problem and Huygens' principle for relativistic higher spin wave equations in an arbitrary curved space-time. Cauchy's problem and Huygens' principle for relativistic higher spin wave equations in an arbitrary curved space-time.

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17...15w&link_type=abstract

General Relativity and Gravitation, Volume 17, Issue 1, pp.15-38

Physics

16

Elementary Particles:Relativity Theory, Relativity Theory:Elementary Particles

Scientific paper

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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