Einstein-Dirac theory on gauge-natural bundles

DOI10.1016/S0034-4877(03)90007-3zbMath1040.83035arXivgr-qc/0201079MaRDI QIDQ1422466

Paolo Matteucci

Publication date: 15 February 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0201079

zbMATH Keywords

Euler-Lagrange equationsjetsClifford algebraconserved quantitiesindeterminacyNoether's theoremenergy momentum tensorspin group\(\gamma\) matricesEinstein-Cartan LagrangianEinstein-Cartan-Dirac theorygauge-na\-tu\-ral bu\-n\-dlesgeneral superpotentialLie derivative of spinor fieldsprincipal bundle morphismsRiemann-Cartan geometry on spin manifoldsspin-connectionsspin-tetrads

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Gravitational energy and conservation laws; groups of motions (83C40) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items

Local approach to higher-order contact elements, The relation between the Jacobi morphism and the Hessian in gauge-natural field theories, Generalised spin structures in general relativity, Covariant gauge-natural conservation laws, Lagrangian reductive structures on gauge-natural bundles, CANONICAL CONNECTIONS IN GAUGE-NATURAL FIELD THEORIES, The hole argument and some physical and philosophical implications

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