THE GENERALIZED MAXWELL-EINSTEIN SYSTEM IN HIGHER DIMENSIONS

We study some consequences of the generalized Maxwell-Einstein system in higher dimensions. This generalization is such that the Maxwell-typ e field constructed in an even n-dimensional space-time preserves the conformal invariance. After dimensional reduction to four dimensions, it gives rise to scalar, electromagnetic and Kalb-Ramond fields. Speci fically, we analyse here some compactification processes, including th e stability of the final configuration (for n = 8), and anisotropic co smological solutions (for n = 6).