2014/05/31 by Yuri N. Obukhov, Dirk Puetzfeld · 53 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Affine transformation #Classical mechanics #Connection (principal bundle) #Conservation law #Cosmology and Gravitation Theories #Coupling (piping) #Covariant transformation #Galaxies: Formation, Evolution, Phenomena #General relativity #Geometry #Gravitation #Gravitational field #Lagrangian #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Noether's theorem #Physics #Pure mathematics #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.90.024004
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 90(2) (American Physical Society) · 9 pages, 1 figure, RevTex format. arXiv admin note: text overlap with arXiv:1303.6050
arxiv created 2014/06/24 · openalex publication_date 2014/07/02 · arxiv updated 2014/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study general metric-affine theories of gravity in which the metric and connection are the two independent fundamental variables. In this framework, we use Lagrange--Noether methods to derive the identities and the conservation laws that correspond to the invariance of the action under general coordinate transformations. The results obtained are applied to generalized models with nonminimal coupling of matter and gravity, with a coupling function that depends arbitrarily on the covariant gravitational field variables.