Exact Solutions of 1+1 Dimensional Dilaton Gravity Coupled to Matter

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 space-time dimension are derived. A generalization of the `no-hair' theorem is pointed out and the Hamiltonian formulation that enables quantizing the s-integrable systems is outlined.

13 pages. The main corrections are: 1. the last phrase in Abstract; 2. equations (4*), (24), (29); 3. the first two paragraphs and eq.(31). Several minor corrections were also made in the text. Unfortunately, the preprint and the paper in MPLA were not corrected.

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