Internal Symmetry of Space-Time Connections with Torsion
Abstract
In this brief article an internal symmetry of a generic metric compatible space-time connection, metric and generalized volume element is introduced. The symmetry arises naturally by considering a space-time connection containing a generic torsion tensor, and would otherwise be missed in the absence of torsion. When the transformation is applied to the Hilbert-Einstein action it is shown that by a choice of gauge all possible field theories arising from the Hilbert-Einstein action are equivalent to the standard theory of gravity described by general relativity.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2014
- DOI:
- 10.48550/arXiv.1411.5568
- arXiv:
- arXiv:1411.5568
- Bibcode:
- 2014arXiv1411.5568B
- Keywords:
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- Physics - General Physics;
- General Relativity and Quantum Cosmology;
- 83D05
- E-Print:
- 10 pages double spaced