BARBERO HAMILTONIAN DERIVED FROM A GENERALIZED HILBERT-PALATINI ACTION

Barbero recently suggested a modification of Ashtekar's choice of cano nical variables for general relativity. Although leading to a more com plicated Hamiltonian constraint this modified version, in which the co nfiguration variable still is a connection, has the advantage of being real. In this article we derive Barbero's Hamiltonian formulation fro m an action, which can be considered as a generalization of the ordina ry Hilbert-Palatini action.