Nonlinear Connections and Exact Solutions in Einstein and Extra Dimension Gravity

Abstract

We outline a new geometric method of constructing exact solutions of gravitational field equations parametrized by generic off-diagonal metrics, anholonomic frames and possessing, in general, nontrivial torsion and nonmetricity. The formalism of nonlinear connections is elaborated for (pseudo) Riemannian and Einstein-Cartan-Weyl spaces.

Summary of hep-th/0310132, hep-th/0310133, hep-th/0310134, to be published in Proceedings of the Conference ''Geometria de Lorentz", University of Murcia, Spain, November 12-14, 2003

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