The dynamics of the Einstein-Dirac system. I: A principal bundle formulation of the theory and its canonical analysis

DOI10.1016/0003-4916(85)90006-5zbMath0577.53050OpenAlexW2060934107MaRDI QIDQ1065414

Philip B. Yasskin, David Bao, James A. Isenberg

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0003-4916(85)90006-5

zbMATH Keywords

gauge transformationssymmetriesHamiltonian formulationprincipal bundlesEinstein-Dirac fields

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Methods of quantum field theory in general relativity and gravitational theory (83C47) Applications of global differential geometry to the sciences (53C80) Fiber bundles in algebraic topology (55R10)

Related Items

Dirac's observables for the rest-frame instant form of tetrad gravity in a completely fixed 3-orthogonal gauge ⋮ The Cauchy problem in extended supergravity, \(N=1\), \(d=11\) ⋮ Canonical general relativity: Matter fields in a general linear frame ⋮ Perturbations of conservation laws in field theories ⋮ A sufficient condition for the linearization stability of \(N=1\) supergravity: A preliminary report ⋮ A note on the covariant anomaly as an equivariant momentum mapping ⋮ A local existence theorem for the Einstein--Dirac equation.

Cites Work

• A sufficient condition for the linearization stability of \(N=1\) supergravity: A preliminary report
• On the determination of Cauchy surfaces from intrinsic properties
• Pseudo-differential operators and non-elliptic boundary problems
• The well-posedness of (N=1) classical supergravity
• Linearization stability of Einstein equations coupled with self-gravitating scalar fields
• Linearization stability of the Einstein equations
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