Nonlinear Connections and Exact Solutions in Einstein and Extra Dimension Gravity
Differential Geometry
2007-05-23 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.math/0406393,
title = {Nonlinear Connections and Exact Solutions in Einstein and Extra Dimension Gravity},
author = {Sergiu I. Vacaru},
journal= {arXiv preprint arXiv:math/0406393},
year = {2007}
}
Comments
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