ar X iv : h ep - t h / 99 08 06 8 v 1 9 A ug 1 99 9 Global Properties of Exact Solutions in Integrable Dilaton - Gravity Models

ar X iv : h ep - t h / 98 03 05 9 v 1 6 M ar 1 99 8 A NEW CLASS OF INTEGRABLE MODELS OF 1 + 1 DIMENSIONAL DILATON GRAVITY COUPLED TO SCALAR MATTER

Integrable models of 1 + 1 dimensional gravity coupled to scalar and vector fields are briefly reviewed. A new class of integrable models with nonminimal coupling to scalar fields is constructed and discussed.

ar X iv : h ep - t h / 94 08 04 1 v 1 7 A ug 1 99 4 June 1994 Current - like variables in massive and massless integrable models 1

ar X iv : h ep - t h / 95 06 06 8 v 1 9 J un 1 99 5 On the solutions of the CP 1 model in ( 2 + 1 ) dimensions

We use the methods of group theory to reduce the equations of motion of the CP 1 model in (2+1) dimensions to sets of two coupled ordinary differential equations. We decouple and solve many of these equations in terms of elementary functions, elliptic functions and Painlevé transcendents. Some of the reduced equations do not have the Painlevé property thus indicating that the model is not integ...

ar X iv : h ep - p h / 99 06 23 9 v 1 3 J un 1 99 9 Ruling out a higher spin field solution to the cosmological constant problem

We consider the modification of Newton's gravity law in Dolgov's higher spin models [1, 2] designed to compensate the cosmological constant. We find that the effective Planck mass is unacceptably large in these models. We also point out that the properties of gravitational waves are entirely different in these models as compared to general relativity.

ar X iv : g r - qc / 9 61 20 58 v 1 2 0 D ec 1 99 6 INTEGRABLE 1 + 1 DIMENSIONAL GRAVITY MODELS

Integrable models of dilaton gravity coupled to electromagnetic and scalar matter fields in dimensions 1+1 and 0+1 are reviewed. The 1+1 dimensional integrable models are either solved in terms of explicit quadratures or reduced to the classically integrable Li-ouville equation. The 0+1 dimensional integrable models emerge as sectors in generally non integrable 1+1 dimensional models and can be...