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-type field constructed in an evenn-dimensional space-time preserves the conformal invariance. After dimensional reduction to four dimensions, it gives rise to scalar, electromagnetic and Kalb-Ramond fields. Specifically, we analyse here some compactification processes, including the stability of the final configuration (forn=8), and anisotropic cosmological solutions (forn=6).On leave of absence from: Departamento de Física e Química, Universidade Federal do Espírito Santo, Goiabeiras, Vitória CEP 29000, Espírito Santo, Brazil