Holonomy and the Einstein equations

DOI10.1016/0003-4916(91)90225-WzbMath0727.53066OpenAlexW2093795506MaRDI QIDQ803558

Walter Lamberti, Carlos N. Kozameh, Ezra T. Newman

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0003-4916(91)90225-w

zbMATH Keywords

fibre bundlesprojective structureconformal structureaxiomatic theoryasymptotically flat simple spacetimeholonomy operatorparallel propagation

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Connections (general theory) (53C05)

Related Items (6)

The O(3,1) Yang-Mills equations and the Einstein equations ⋮ The vacuum Einstein equations via holonomy around closed loops on characteristic surfaces ⋮ Lorentzian metrics from characteristic surfaces ⋮ GR via characteristic surfaces ⋮ The vacuum and Bach equations in terms of light cone cuts ⋮ Non-local equations for general relativity

Cites Work

• The theory of H-space
• Theory of light cone cuts of null infinity
• On the separation of Einsteinian substructures
• Asymptotic Symmetries in Gravitational Theory
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