A Hodge dual for soldered bundles
| Autor: | Tiago Gribl Lucas, José Geraldo Pereira |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Statistics and Probability
Standard form Physics Pure mathematics General relativity FOS: Physical sciences General Physics and Astronomy Statistical and Nonlinear Physics General Relativity and Quantum Cosmology (gr-qc) Curvature General Relativity and Quantum Cosmology symbols.namesake Solder form Modeling and Simulation Torsion (algebra) symbols Hodge dual Mathematical Physics Lagrangian |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical. 42:035402 |
| ISSN: | 1751-8121 1751-8113 |
| 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: | OpenAIRE |
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