Lorentzian three-metrics with degenerate Ricci tensors

DOI10.1063/1.531125zbMath0824.53068OpenAlexW2026639465MaRDI QIDQ4836823

Des J. McManus

Publication date: 30 October 1995

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

Full work available at URL: https://doi.org/10.1063/1.531125

zbMATH Keywords

isometry groupRicci tensorinhomogeneous solutionsLorentzian three-metrics

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Applications of differential geometry to physics (53Z05) General relativity (83C99) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (5)

Three-dimensional Riemannian manifolds with constant principal Ricci curvatures ρ1=ρ2≠ρ3 ⋮ On curvature homogeneous three-dimensional Lorentzian manifolds ⋮ Three-dimensional Lorentzian manifolds with constant principal Ricci curvatures ρ1=ρ2≠ρ3 ⋮ Three-dimensional metrics with a spherical homogeneous model ⋮ Constant gravitational fields and redshift of light

Cites Work

• A review of the geometrical equivalence of metrics in general relativity
• Generalised splitting of spacetime
• A class of homogeneous cosmological models
• Some spherical gravitational waves in general relativity
• Isometry groups of three-dimensional Riemannian metrics
• Isometry groups of three-dimensional Lorentzian metrics
• Shear-free, irrotational, geodesic, anisotropic fluid cosmologies
• Invariant Approach to the Geometry of Spaces in General Relativity

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