Local and global algebraic structures in general relativity

DOI10.1007/BF00670208zbMath0682.53090OpenAlexW2056945176MaRDI QIDQ1824238

Alan D. Rendall, Graham S. Hall

Publication date: 1989

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00670208

zbMATH Keywords

Petrov classificationsecond-order tensorglobal fieldalgebraic type

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Gravitational energy and conservation laws; groups of motions (83C40)

Related Items (15)

A note on recurrent bivectors in 4-dimensional Lorentz Manifolds ⋮ Conformal vector fields in general relativity ⋮ Curvature collineations in general relativity. I ⋮ Curvature collineations in general relativity. II ⋮ Geometrical aspects and generalizations of Newton-Cartan mechanics ⋮ The classification of the Weyl conformal tensor in 4-dimensional manifolds of neutral signature ⋮ A study on killing vector fields in four-dimensional spaces ⋮ Recurrence structures in 4-dimensional manifolds with metric of signature \((+, +, -, -)\) ⋮ Matter collineations: The inverse ‘‘symmetry inheritance’’ problem ⋮ Projective structure and holonomy in four-dimensional Lorentz manifolds ⋮ Perfect fluid spacetimes admitting curvature collineations ⋮ Vacuum type N space-times admitting homothetic vector fields with isolated fixed points ⋮ Projective symmetry in null Einstein–Maxwell space-times ⋮ Bi-conformal vector fields and the local geometric characterization of conformally separable pseudo-Riemannian manifolds. I. ⋮ Covariantly constant tensors and holonomy structure in general relativity

Cites Work

• A spinor approach to general relativity
• Invariant Formulation of Gravitational Radiation Theory
• Gravitational waves in general relativity. VI. The outgoing radiation condition
• The classification of the Ricci tensor in general relativity theory
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