Space-time algebra approach to curvature

DOI10.1063/1.524884zbMath0455.53022OpenAlexW2087470710MaRDI QIDQ3903659

Garret Sobczyk

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1063/1.524884

zbMATH Keywords

curvature tensorDirac algebraPetrov types

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) Gravitational energy and conservation laws; groups of motions (83C40) Applications of local differential geometry to the sciences (53B50)

Related Items (9)

Algebraic invariants of the Riemann tensor in a four-dimensional Lorentzian space ⋮ A complete set of Riemann invariants ⋮ Identities of the scalars of the four-dimensional Riemannian manifold ⋮ Algebraic properties of Riemannian manifolds ⋮ Complex Lorentz rotations on vectors\(\oplus\)pseudovectors ⋮ The identities of the algebraic invariants of the four-dimensional Riemann tensor. II ⋮ Geometric algebra techniques for general relativity ⋮ The identities of the algebraic invariants of the four-dimensional Riemann tensor. III ⋮ The Clifford algebra of differential forms

Cites Work

• A spinor approach to general relativity
• Invariants of General Relativity and the Classification of Spaces
• Curvature and the Petrov Canonical Forms
• The Algebra of the Riemann Curvature Tensor in General Relativity: Preliminaries

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