Hodge Dual for Soldered Bundles
| Autor: | Lucas, Tiago Gribl, Pereira, J. G. |
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| Rok vydání: | 2008 |
| Předmět: | |
| Zdroj: | J.Phys.A42:035402,2009 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1751-8113/42/3/035402 |
| Popis: | 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. Comment: 8 pages, no figures. Accepted for publication in Journal of Physics A |
| Databáze: | arXiv |
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