Static axially symmetric solutions of the Hermitian theory of relativity: Generalization of the Weyl-Levi Civita class of vacuum fields

We have found a straightforward generalization to the Hermitian theory of relativity for the class of vacuum solutions discovered, for the symmetric theory, by Weyl and Levi Civita. When such a generalization is applied to the static two-body problem, it is possible to show that, even in the Hermitian case, the interaction between the two bodies is pure gravitational pull.