Mapping Noether identities into Bianchi identities in general relativistic theories of gravity and in the field theory of static lattice defects

DOI10.1007/BF00672931zbMath0713.53047OpenAlexW2018028330MaRDI QIDQ749899

J. Dermott McCrea, Eckehard W. Mielke, Friedrich W. Hehl

Publication date: 1990

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00672931

zbMATH Keywords

Bianchi identitiesspin currentdilation currentexternal symmetriesmomentum currentNoether identities

Mathematics Subject Classification ID

Gravitational energy and conservation laws; groups of motions (83C40) Applications of local differential geometry to the sciences (53B50) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (7)

Dual gauge field theory of quantum liquid crystals in two dimensions ⋮ Chern–Simons terms in metric-affine space-time: Bianchi identities as Euler–Lagrange equations ⋮ METRIC–AFFINE GAUGE THEORY OF GRAVITY II: EXACT SOLUTIONS ⋮ An assessment of Evans' unified field theory. I ⋮ Topological gravity in a three-dimensional metric-affine space–time ⋮ New constraints in dynamical torsion theory ⋮ Theory of defects in solids and three-dimensional gravity

Cites Work

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• Metric-affine variational principles in general relativity. II: Relaxation of the Riemannian constraint
• Dualistic theory of non-Riemannian material manifolds
• Micro-structure in linear elasticity
• On Geometry of Point Defects and DislocationsThe Meaning of the Third Identity of Curvature Tensor
• Zum statischen Grundgesetz der Versetzungstheorie
• Die Spannungsfunktionen des dreidimensionalen Kontinuums und des elastischen Körpers
• Ricci-Calculus

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