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

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Abstract
A class of integrable models of (1 + 1)-dimensional dilaton gravity coupled to scalar and electromagnetic fields is obtained and explicitly solved. More general models are reduced to (0 + 1)-dimensional Hamiltonian systems, for which two integrable classes (called s-integrable) are found and explicitly solved. As a special case, static spherical solutions of the Einstein gravity coupled to electromagnetic and scalar fields in any real spacetime dimension are derived. A generalization of the “no-hair” theorem is pointed out and the Hamiltonian formulation that enables an exact quantization of the s-integrable systems is outlined.

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