Observables in terms of connection and curvature variables for Einstein's equations with two commuting Killing vectors

Panagiotis Kordas

Einstein's equations with two commuting Killing vectors and the associated Lax pair are considered. The equations for the connection $A(\varsigma ,\eta ,\gamma )={\Psi }_{,\gamma }{\Psi }^{-1}$, where $\gamma$ the variab…