Extended Schouten classification for non-Riemannian geometries

Details Extended Schouten classification for non-Riemannian geometries Extended Schouten classification for non-Riemannian geometries

2007-12-21

arxiv.org/abs/0712.3716v1

Mod.Phys.Lett.A23:17-23,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, to appear on Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732308026157

A generalized connection, including Christoffel coefficients, torsion,
non-metricity tensor and metric-asymmetricity object, is analyzed according to
the Schouten classification. The inverse structure matrix is found in the
linearized regime, autoparallel trajectories are defined and the contribution
of the components of the connection are clarified at first-order approximation.

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