Hodge Dual for Soldered Bundles

Details Hodge Dual for Soldered Bundles Hodge Dual for Soldered Bundles

2008-11-13

arxiv.org/abs/0811.2066v1

J.Phys.A42:035402,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figures. Accepted for publication in Journal of Physics A

Scientific paper

10.1088/1751-8113/42/3/035402

In order to account for all possible contractions allowed by the presence of the solder form, a generalized Hodge dual is defined for the case of soldered bundles. Although for curvature the generalized dual coincides with the usual one, for torsion it gives a completely new dual definition. Starting from the standard form of a gauge lagrangian for the translation group, the generalized Hodge dual yields precisely the lagrangian of the teleparallel equivalent of general relativity, and consequently also the Einstein-Hilbert lagrangian of general relativity.

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