Holonomy groups and spacetimes

DOI10.1088/0264-9381/17/6/304zbMath0957.83014arXivgr-qc/0310076OpenAlexW1971500026MaRDI QIDQ4954048

David P. Lonie, Graham S. Hall

Publication date: 26 March 2001

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0310076

zbMATH Keywords

perfect fluidholonomy groupconformally flat spacetimemassive scalar fieldvacuum spacetimespacetime classsification

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Einstein-Maxwell equations (83C22)

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Finsler gravitational waves of (α, β)-type and their observational signature ⋮ Recurrence structures in 4-dimensional manifolds with metric of signature \((+, +, -, -)\) ⋮ Projective relatedness and conformal flatness ⋮ Projective structure and holonomy in four-dimensional Lorentz manifolds ⋮ Applications of a special generalized quasi-Einstein manifold ⋮ Conformally flat Lorentzian manifolds with special holonomy groups ⋮ Symmetries of the Kerr–Newman spacetime ⋮ How to find the holonomy algebra of a Lorentzian manifold ⋮ The geometry of 4-dimensional, Ricci-flat manifolds which admit a metric ⋮ Группы голономии лоренцевых многообразий ⋮ One component of the curvature tensor of a Lorentzian manifold ⋮ Projective symmetry in null Einstein–Maxwell space-times ⋮ Geodesically equivalent metrics on homogenous spaces ⋮ Some remarks on wave solutions in general relativity theory

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