Infinitesimal null isotropy and Robertson–Walker metrics

DOI10.1063/1.526623zbMath0561.53058OpenAlexW2030340073MaRDI QIDQ5186336

Lisa Koch-Sen

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526623

zbMATH Keywords

Lorentz manifoldRobertson-Walker metricinfinitesimal null isotropyinfinitesimal spatial isotropy

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (16)

Null and infinitesimal isotropy in semi-Riemannian geometry ⋮ A local characterization of Schwarzschild and Reissner metrics ⋮ On a problem of Osserman in Lorentzian geometry ⋮ Sectional curvature and tidal accelerations ⋮ Generalized Stephani universes ⋮ A new characterization of the \(n\)-dimensional Einstein static spacetime ⋮ The fibre bundle of degenerate tangent planes of a Lorentzian manifold and the smoothness of the null sectional curvature ⋮ On null isotropy in spacetimes ⋮ A geometrical interpretation of the null sectional curvature ⋮ Global decomposition of a Lorentzian manifold as a generalized Robertson-Walker space ⋮ Null congruence spacetimes constructed from 3-dimensional Robertson-Walker spaces ⋮ Infinitesimally null Ricci isotropic Lorentz manifolds ⋮ Sectional curvature in general relativity ⋮ A METHOD TO CONSTRUCT 4-DIMENSIONAL SPACETIMES WITH A SPACELIKE CIRCLE ACTION ⋮ The generic condition is generic ⋮ A Berger-Green type inequality for compact Lorentzian manifolds

Cites Work

• On the global geometry of the Stephani Universe
• Infinitesimale Charakterisierung von Friedmann-Universen
• Über Lösungen der Einsteinschen Feldgleichungen, die sich in einen fünfdimensionalen flachen Raum einbetten lassen
• Kinematics and World-Structure

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