EXACT-SOLUTIONS OF (1-DIMENSIONAL DILATON GRAVITY COUPLED TO MATTER(1))

A class of integrable models of (1 + 1)-dimensional dilaton gravity co upled to scalar and electromagnetic fields is obtained and explicitly solved. More general models are reduced to (0 + 1)-dimensional Hamilto nian systems, for which two integrable classes (called s-integrable) a re found and explicitly solved. As a special case, static spherical so lutions of the Einstein gravity coupled to electromagnetic and scalar fields in any real spacetime dimension are derived. A generalization o f the ''no-hair'' theorem is pointed out and the Hamiltonian formulati on that enables an exact quantization of the s-integrable systems is o utlined.