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Coupling of lineal Poincaré gauge gravity to scalar fields

Non-vacuum exact solutions in two-dimensional Poincaré gauge gravity are studied. Scalar matter fields are of particular interest, since they effectively describe the boson string models with non-trivial (Riemann--Cartan) two-dimensional dynamical geometry. We explicitly demonstrate, via an ansatz, that our recently suggested method of integration of the vacuum 2D Poincaré gravity can be extended to the case of interaction with the scalar matter. Exact solutions of the cosmological and black-hole type are obtained.