A Generalization of the Relativistic Theory of Gravitation, II

In a previous paper (Ann. of Math., Vol. 46, No. 4) one of us developed a generally relativistic theory, which is characterized as follows: (1) Group of real transformations of the four coordinates (xi, ,X4) (2) As only dependent variable to which everything is reduced we have the tensor gik, which is taken there to be complex and of Hermitian symmetry. W. Pauli noted, that the theory developed on this basis is such that the limitation to the case of the Hermitian tensor is not needed for the formalism. (3) It was added in proof that it seems natural to assume that the field satisfy the equations