The spin holonomy group in general relativity

DOI10.1007/BF02097393zbMath0792.58010arXivgr-qc/9207006MaRDI QIDQ1308465

Joseph D. Romano, Ted Jacobson

Publication date: 9 January 1994

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9207006

zbMATH Keywords

general relativityspin holonomy group

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Group actions and symmetry properties (58D19) Homotopy and topological questions for infinite-dimensional manifolds (58B05)

Related Items (3)

Partial and complete observables for Hamiltonian constrained systems ⋮ How to find the holonomy algebra of a Lorentzian manifold ⋮ Twisted entropy functional for three-manifolds and flows induced on the boundary

Cites Work

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• \(2+1\)-dimensional gravity as an exactly soluble system
• Holonomy and path structures in general relativity and Yang-Mills theory
• Degeneracy in loop variables
• Measuring the metric in (2+1)-dimensional quantum gravity
• Some Applications of the Infinitesimal-Holonomy Group to the Petrov Classification of Einstein Spaces
• Reduced holonomy group and Einstein equations with a cosmological constant
• Spinor Structure of Space-Times in General Relativity. I

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