ar X iv : g r - qc / 9 61 10 54 v 1 2 2 N ov 1 99 6 New Symmetries in Two - Dimensional Dilaton Gravity 1

ar X iv : g r - qc / 9 51 10 48 v 1 1 6 N ov 1 99 5 Two lectures on Two - Dimensional Gravity ∗

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...

ar X iv : g r - qc / 9 40 50 04 v 2 3 N ov 1 99 4 BROWN - HET - 942 April 1994 Singularity - Free Two Dimensional Cosmologies

We present a class of theories of two dimensional gravity which admits homogeneous and isotropic solutions that are nonsingular and asymptotically approach a FRW matter dominated universe at late times. These models are generalizations of two dimensional dilaton gravity and both vacuum solutions and those including conformally coupled matter are investigated. In each case our construction leads...

ar X iv : g r - qc / 9 80 61 06 v 1 2 6 Ju n 19 98 Free Fields for Chiral

We give an explicit canonical transformation which transforms a generic chiral 2D dilaton gravity model into a free field theory.

ar X iv : g r - qc / 9 71 20 34 v 1 6 D ec 1 99 7 A two - dimensional representation of four - dimensional gravitational waves

The Einstein equation in D dimensions, if restricted to the class of space-times possessing n = D−2 commuting hypersurface–orthogonal Killing vectors, can be equivalently written as metric-dilaton gravity in 2 dimensions with n scalar fields. For n = 2, this results reduces to the known reduction of certain 4-dimensional metrics which include gravitational waves. Here, we give such a representa...