EFFECTIVE LAGRANGIAN AND STATIC BLACK-HOLES IN 2-D DILATONIC GRAVITY INSPIRED BY QUANTUM EFFECTS

We study the effective action in 2-D dilaton-Maxwell quantum gravity. Working with the one-loop renormalizable subset of such theories, we c onstruct the improved effective Lagrangian which contains curvature un der logarithm. This effective Lagrangian leads to new classical dilato nic gravity inspired by quantum effects. The static black holes (BH) s olutions which may play the role of a remnant after the Hawking radiat ion for such theory are carefully investigated. The effective Lagrangi an for Gross-Neveu-dilaton gravity is also constructed (in 1/N expansi on).