A remark about static space times

DOI10.1016/j.geomphys.2008.09.005zbMath1162.53051OpenAlexW2046317664MaRDI QIDQ2518937

Jacques Lafontaine

Publication date: 21 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2008.09.005

zbMATH Keywords

scalar curvaturestatic space-time

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (13)

Conformally Einstein product spaces ⋮ A note on static spaces and related problems ⋮ On the structure of linearization of the scalar curvature ⋮ New gap results on n‐dimensional static manifolds ⋮ Critical metrics of the volume functional on three‐dimensional manifolds ⋮ Characterizing Killing vector fields of standard static space-times ⋮ The classification of static spaces and related problems ⋮ Uniqueness of the de Sitter spacetime among static vacua with positive cosmological constant ⋮ Implications of energy conditions on standard static space-times ⋮ Killing fields generated by multiple solutions to the Fischer–Marsden equation II ⋮ Killing fields generated by multiple solutions to the Fischer–Marsden equation ⋮ A note on some remarkable differential equations on a Riemannian manifold ⋮ Closed vacuum static spaces with zero radial Weyl curvature

Cites Work

• Sur la géométrie d'une généralisation de l'équation différentielle d'Obata
• A differential equation arising from scalar curvature function
• On the uniqueness of static perfect-fluid solutions in general relativity
• A direct approach to the determination of Gaussian and scalar curvature functions
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Boost symmetries in spatially compact spacetimes with a cosmological constant
• A note on Fischer-Marsden’s conjecture
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