Covariant spin structure

DOI10.1063/1.532496zbMath0927.53037arXivgr-qc/9711043OpenAlexW2161676407MaRDI QIDQ4701684

Gennadi A. Sardanashvily

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9711043

zbMATH Keywords

natural bundlesDirac fermion fieldsDirac spinor bundletetrad gravitational fields

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (8)

CLASSICAL GAUGE GRAVITATION THEORY ⋮ The Higgs sector of gravitational gauge theories ⋮ Euler–Lagrange Equations for Functionals Defined On Fréchet Manifolds ⋮ ON THE BV QUANTIZATION OF GAUGE GRAVITATION THEORY ⋮ Geometric origin of physical constants in a Kaluza-Klein tetrad model ⋮ CLASSICAL FIELD THEORY: ADVANCED MATHEMATICAL FORMULATION ⋮ Holonomy of a principal composite bundle connection, non-Abelian geometric phases, and gauge theory of gravity ⋮ Classical Higgs fields

Cites Work

• Geometrical approach to the reduction of gauge theories with spontaneously broken symmetry
• Spinors and diffeomorphisms
• Gauge gravitation theory
• Geometric prequantization on the spin bundle based on \(n\)-symplectic geometry: The Dirac equation
• Energy-momentum complex for nonlinear gravitational Lagrangians in the first-order formalism
• Dérivées de Lie des spineurs. (Lie derivatives of spinors)
• Natural bundles. II. Spin and the diffeomorphism group
• About the geometric structure of symmetry-breaking
• Matter fields in spacetime with vector nonmetricity
• Spinor structures on spheres and projective spaces
• Energy-momentum conservation in gauge theories
• Stress-energy-momentum tensors in constraint field theories
• Stress - energy - momentum conservation law in gauge gravitation theory
• Black holes with Weyl charge and non-Riemannian waves
• Stress - energy - momentum of affine-metric gravity. Generalized Komar superpotential
• Gauge group and G-structures
• Spinor Structure of Space-Times in General Relativity. I

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