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

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

1996-05-02

arxiv.org/abs/hep-th/9605008v2

Mod.Phys.Lett. A11 (1996) 1691-1704

Physics

High Energy Physics

High Energy Physics - Theory

13 pages. The main corrections are: 1. the last phrase in Abstract; 2. equations (4*), (24), (29); 3. the first two paragraphs

Scientific paper

10.1142/S0217732396001685

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.

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