Internal Symmetry of Space-Time Connections with Torsion

David Robert Bergman

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arXiv · 1411.5568

Internal Symmetry of Space-Time Connections with Torsion

David Robert Bergman

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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.

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David Robert Bergman. 2014-11-19. Internal Symmetry of Space-Time Connections with Torsion. https://arxiv.org/abs/1411.5568

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