A new characterization of the \(n\)-dimensional Einstein static spacetime

DOI10.1016/j.geomphys.2014.03.010zbMath1287.53064OpenAlexW2321363746MaRDI QIDQ2448263

Francisco J. Palomo

Publication date: 30 April 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2014.03.010

zbMATH Keywords

Sasaki metricconformal vector fieldsnull congruenceEinstein static space-time

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Geodesic flows in symplectic geometry and contact geometry (53D25)

Cites Work

• Null congruence spacetimes constructed from 3-dimensional Robertson-Walker spaces
• A characterization of Robertson-Walker spaces by null sectional curvature
• The values of sectional curvature in indefinite metrics
• Isotropic manifolds of indefinite metric
• The fibre bundle of degenerate tangent planes of a Lorentzian manifold and the smoothness of the null sectional curvature
• On the de Rham decomposition theorem
• A Berger-Green type inequality for compact Lorentzian manifolds
• Lorentzian manifolds with no null conjugate points
• Infinitesimal null isotropy and Robertson–Walker metrics
• Riemannian geometry
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