Hodge Dual for Soldered Bundles

Abstract

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.

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

References in corpus (5)

• Torsion Gravity: a Reappraisal
• Gravitational Energy-Momentum Density in Teleparallel Gravity
• Duality in linearized gravity
• Hodge Dual for Soldered Bundles
• Gravitation and Duality Symmetry

Cited by in corpus (11)

• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• Teleparallel theories of gravity as analogue of non-linear electrodynamics
• Gauge Structure of Teleparallel Gravity
• Teleparallelism: A New Insight Into Gravity
• Hodge Dual for Soldered Bundles
• Gibbons-Hawking-York boundary terms and the generalized geometrical trinity of gravity
• Consistent Gravitationally-Coupled Spin-2 Field Theory
• Modified Teleparallel Gravity induced by quantum fluctuations
• Quantum fields in teleparallel gravity: renormalization at one-loop
• Self-Excited Gravitational Instantons
• Generalized Hodge dual for torsion in teleparallel gravity