Integrable Models of 1+1 Dimensional Dilaton Gravity Coupled to Scalar Matter

Abstract

A class of explicitly integrable models of 1+1 dimensional dilaton gravity coupled to scalar fields is described in some detail. The equations of motion of these models reduce to systems of the Liouville equations endowed with energy and momentum constraints. The general solution of the equations and constraints in terms of chiral moduli fields is explicitly constructed and some extensions of the basic integrable model are briefly discussed. These models may be related to high dimensional supergravity theories but here they are mostly considered independently of such interpretations. A brief review of other integrable models of two-dimensional dilaton gravity is also given.

14 pages. In Section 2, 1.5 pages and 8 references were added to make the review of other integrable models more complete. In the rest of the paper 4 footnotes were added, several misprints corrected and a few potentially misleading comments clarified or deleted

References in corpus (2)

• Monodromy-data parameterization of spaces of local solutions of integrable reductions of Einstein's field equations
• Integrable Low Dimensional Models for Black Holes and Cosmologies from High Dimensional Theories

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• On solving dynamical equations in general homogeneous isotropic cosmologies with scalaron
• A fresh view of cosmological models describing very early Universe: general solution of the dynamical equations