2014/11/19 by David R. Bergman, David Robert Bergman, Bergman, David Robert
Physics and Astronomy · #83D05 #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory #gr-qc #msc:83D05 #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.1411.5568
10 pages double spaced
arxiv created 2014/11/19 · openalex publication_date 2014/11/19 · arxiv updated 2014/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.