Semi-infinite throats at finite temperature and static solutions in exactly solvable models of 2d dilaton gravity

Found is a general form of static solutions in exactly solvable models of 2d dilaton gravity at finite temperature. We reveal a possibility for the existence of everywhere regular solutions including black holes, semi-infinite throats and star-like configurations. In particular, we consider the Bose-Parker-Peleg (BPP) model which possesses a semi-infinite throat and analyze it at finite temperature. We also suggest generalization of the BPP model in which the appearance of semi-infinite throat has a generic character and does not need special fine tuning between parameters of the solution.