Sectional curvature and tidal accelerations

DOI10.1063/1.528815zbMath0704.53066OpenAlexW2084540777MaRDI QIDQ3483983

Phillip E. Parker, John K. Beem

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528815

zbMATH Keywords

curvature tensorPetrov typesectional curvaturestidal forcesgeodesic deviationnondestructive direction

Mathematics Subject Classification ID

General relativity (83C99) Applications of local differential geometry to the sciences (53B50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (5)

Null and infinitesimal isotropy in semi-Riemannian geometry ⋮ Some remarks on sectional curvature and tidal accelerations ⋮ Lorentzian causality theory ⋮ The generic condition is generic ⋮ Nongeneric null vectors

Cites Work

• Unnamed Item
• Krümmungstreue Diffeomorphismen Riemannscher und pseudo-Riemannscher Mannigfaltigkeiten
• Sectional curvature and the determination of the metric in space-time
• A characterization of Robertson-Walker spaces by null sectional curvature
• Whitney stability of solvability
• Values of pseudoriemannian sectional curvature
• The significance of curvature in general relativity
• Riemannian curvature and the classification of the Riemann and Ricci tensors in space-time
• Maps of manifolds with indefinite metrics preserving certain geometrical entities
• On sectional curvature of indefinite metrics. II
• Sectional curvature in general relativity
• Curvature preserving diffeomorphisms
• Curvature and metric
• Curvature of generic space-times in general relativity
• A new mathematical formulation of accelerated observers in general relativity. I
• A new mathematical formulation of accelerated observers in general relativity. II
• Infinitesimal null isotropy and Robertson–Walker metrics
• Curvature and the Petrov Canonical Forms

This page was built for publication: Sectional curvature and tidal accelerations