TOWARDS COMPLETE-INTEGRABILITY OF 2-DIMENSIONAL POINCARE GAUGE GRAVITY

It is shown that gravity on the line can be described by the two-dimen sional (2D) Hilbert-Einstein Lagrangian supplemented by a kinetic term for the coframe and a translational boundary term. The resulting mode l is equivalent to a Yang-Mills theory of local translations and froze n Lorentz gauge degrees. We will show that this restricted Poincare ga uge model in two dimensions is completely integrable. Exact wave, char ged black hole, and ''dilaton'' solutions are then readily found. In v acuum, the integrability of the general 2D Poincare gauge theory is fo rmally proved along the same line of reasoning.