Gauge formalism for general relativity and fermionic matter

DOI10.1023/A:1018852524599zbMath0935.83019arXivgr-qc/9609042MaRDI QIDQ1807348

Mauro Francaviglia, Marco Ferraris, Lorenzo Fatibene, Marco Godina

Publication date: 18 November 1999

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9609042

zbMATH Keywords

superpotentialsDirac spinors

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (20)

ON THE BV QUANTIZATION OF GAUGE GRAVITATION THEORY ⋮ Generalized symmetries in mechanics and field theories ⋮ Reductive \(G\)-structures and Lie derivatives. ⋮ Gauge natural formulation of conformal gravity ⋮ Spin frame transformations and Dirac equations ⋮ The nontriviality of trivial general covariance: how electrons restrict `time' coordinates, spinors (almost) fit into tensor calculus, and \(\frac{7}{16}\) of a tetrad is surplus structure ⋮ Einstein-Dirac theory on gauge-natural bundles ⋮ General theory of Lie derivatives for Lorentz tensors ⋮ Two-spinor formulation of first-order gravity coupled to Dirac fields ⋮ Symmetry operators for Dirac’s equation on two-dimensional spin manifolds ⋮ Conformal gravity: light deflection revisited and the galactic rotation curve failure ⋮ A new geometrical look at gravity coupled with Yang–Mills fields ⋮ Conformal gravity with electrodynamics for fermion fields and their symmetry breaking mechanism ⋮ The physical meaning of the de Sitter invariants ⋮ Constraining the physical state by symmetries ⋮ Metric-affine gravity and the Nester-Witten 2-form ⋮ Do bosons feel spin frames? ⋮ CLASSICAL FIELD THEORY: ADVANCED MATHEMATICAL FORMULATION ⋮ CANONICAL CONNECTIONS IN GAUGE-NATURAL FIELD THEORIES ⋮ Coframe energy-momentum current. Algebraic properties

Cites Work

• A theory of generally invariant Lagrangians for the metric fields. I
• Dérivées de Lie des spineurs. (Lie derivatives of spinors)
• Characteristic Classes and Homogeneous Spaces, I
• Energy-momentum tensors and stress tensors in geometric field theories
• Nöther formalism for conserved quantities in classical gauge field theories
• Energy-momentum conservation in gauge theories
• Nöther formalism for conserved quantities in classical gauge field theories. II. The arbitrary Bosonic matter case
• Spinor Structure of Space-Times in General Relativity. I
• The Large Scale Structure of Space-Time
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