Abstract
We give the full list of types of static (homogeneous) solutions within a wide family of exactly solvable 2D dilaton gravities with backreaction of conformal fields. It includes previously known solutions as particular cases. Several concrete examples are considered for illustration. They contain a black hole and cosmological horizon in thermal equilibrium, extremal and ultraextremal horizons, etc. In particular, we demonstrate that AdS and dS geometries can be exact solutions of semiclassical field equations for a nonconstant dilaton field.
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