Uniqueness of the metric from the Weyl and energy-momentum tensors

DOI10.1063/1.527443zbMath0631.53057OpenAlexW2014133332MaRDI QIDQ3767986

Alan D. Rendall, Graham S. Hall

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527443

zbMATH Keywords

Ricci tensorenergy-momentum tensorWeyl tensor

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of local differential geometry to the sciences (53B50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (7)

Ricci and matter collineations in space-time ⋮ The curvature problem in general relativity ⋮ On nonperfect fluid cosmologies evolving towards perfect fluid cosmological models ⋮ Symmetries of Energy-Momentum Tensor: Some Basic Facts ⋮ Lorentzian Manifolds: A characterization with semiconformal curvature tensor ⋮ Invariant classification of vacuum pp-waves ⋮ Geodesically equivalent metrics in general relativity

Cites Work

• Curvature collineations and the determination of the metric from the curvature in General Relativity
• Algebraic determination of the metric from the curvature in general relativity
• The holonomy group in general relativity and the determination of \(g_{iJ}\) from \(T^{i_j}\)
• The space of Lorentz metrics
• On the determination of the energy-momentum tensor and Weyl tensor structure from the curvature in space-time
• The classification of the Ricci tensor in general relativity theory
• Recurrence conditions in space-time

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