Canonical general relativity: Matter fields in a general linear frame

DOI10.1063/1.532901zbMath0954.83006arXivgr-qc/9808005OpenAlexW3102517472MaRDI QIDQ4270360

M. A. Clayton

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/9808005

zbMATH Keywords

matter fieldsgeneral relativityHamiltonian dynamicsdiffeomorphism constraintsgeneral linear frame

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55)

Cites Work

• The dynamics of the Einstein-Dirac system. I: A principal bundle formulation of the theory and its canonical analysis
• Covariant canonical formalism for gravity
• Gravitational fields, spinor fields, and groups of motions
• Geometrodynamics regained
• Magnetic charge, holonomy and characteristic classes: Illustrations of the methods of topology in relativity
• Canonical algebra of GL(4)-invariant gravity
• The tetrad frame constraint algebra
• Darboux coordinates for (first-order) tetrad gravity
• Canonical general relativity: The diffeomorphism constraints and spatial frame transformations
• Spinor Structure of Space-Times in General Relativity. I
• Spinor Structure of Space-Times in General Relativity. II

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