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

ar X iv : g r - qc / 9 51 10 66 v 1 2 4 N ov 1 99 5 Scalar Field Inhomogeneous

Some exact solutions for the Einstein field equations corresponding to inhomogeneous G 2 cosmologies with an exponential-potential scalar field which generalize solutions obtained previously are considered. Several particular cases are studied and the properties related to generalized inflation and asymptotic behaviour of the models are discussed.

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 : d g - ga / 9 41 10 11 v 1 2 3 N ov 1 99 4 The number of functionally independent invariants of a pseudo – Riemannian metric

The number of functionally independent scalar invariants of arbitrary order of a generic pseudo–Riemannian metric on an n–dimensional manifold is determined.

ar X iv : g r - qc / 9 41 10 30 v 1 1 1 N ov 1 99 4 SCALE - INVARIANT PHASE SPACE AND THE CONFORMAL GROUP

1. Introduction Certain difficulties associated with any theory of quantum gravity stem from the different mathematical framing of our gravity and quantum theories. While general relativity is based on a real, deterministic, differentiable manifold structure, the elements of quantum theory are complex-valued and probabilistic. Consider two ways to reconcile these differences by placing one of t...

ar X iv : g r - qc / 9 21 20 13 v 1 2 1 D ec 1 99 2 Inhomogeneous and anisotropic cosmologies