Abstract
A possibility to describe massive fields of spins≧1/2 within general relativity theory without auxiliary fields and subsidiary conditions is proposed. Using the 2-component spinor calculus the Lagrangian is given for arbitrarys in an uniform manner. The related Euler-Lagrange equations are the wave equations studied by Buchdahl and Wünsch. The results are specified for fields of integer and half-integer spin: A suitable generalization of Proca's equation and Lagrangian leads to an equivalent tensor description of bosonic fields, whereas a generalization of Dirac's theory allows an equivalent description of fermionic fields by use of bispinors. AU (1)-gauge invariance of the Lagrangian is obtained by coupling to an electrogmagnetic potential. The current vector of the spin-s field is derived.
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