Jp. Nicolas, GLOBAL CAUCHY-PROBLEM FOR LINEAR MASSLESS SPIN 3 2 FIELD-EQUATIONS INTHE SCHWARZSCHILD SPACE-TIME/, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 325(3), 1997, pp. 277-282
We study the Dirac form of linear spin 3/2 massless field equations ou
tside an uncharged spherical black-hole. We salve the Global Cauchy pr
oblem, first for minimum regularity (L-2) solutions, then in the succe
ssive domains of the Hamiltonian, and Mie prove the conservation of th
e constraints under evolution.