THE COSMOLOGICAL CONSTANTS

We point out that the lagrangian due to Capovilla, Jacobson and Dell, as well as the hamiltonian due to Ashtekar, both of which describe complex four dimensional general relativity, permit the introduction of an infinite set of parameters, one of which is the usual cosmological constant. For arbitrary choices of the parameters, the model has two degrees of freedom, and we show how to identify the space-time metric in terms of them. The connection between the lagrangian and the hamiltonian is partially worked out.