Geodesic structure of standard static space--times.

DOI10.1016/S0393-0440(02)00154-7zbMath1034.53040OpenAlexW2065078886MaRDI QIDQ1874081

Bülent Ünal, Dean E. Allison

Publication date: 22 May 2003

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

Full work available at URL: https://doi.org/10.1016/s0393-0440(02)00154-7

zbMATH Keywords

warped productLorentz manifoldsgeodesic connectednessgeodesic pseudoconvexitynonreturning propertystandard static space time

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (15)

Pseudo-projective curvature tensor on warped product manifolds and its applications in space-times ⋮ The existence of gradient Yamabe solitons on spacetimes ⋮ \(\varphi(\mathrm{Ric})\)-vector fields on warped product manifolds and applications ⋮ Characterizing Killing vector fields of standard static space-times ⋮ Pseudo-projective tensor on sequential warped products ⋮ Jacobi vector fields and conjugate points on warped product manifolds ⋮ Special standard static space-times ⋮ Concircular curvature on warped product manifolds and applications ⋮ On causality and closed geodesics of compact Lorentzian manifolds and static spacetimes ⋮ Ricci solitons on singly warped product manifolds and applications ⋮ On the geometry of static spacetimes ⋮ Structure of geodesics in the regular Hayward black hole space-time ⋮ Foliations of doubly warped products by \(k\)-umbilical hypersurfaces ⋮ Curvature of multiply warped products ⋮ Sequential warped products: Curvature and conformal vector fields

Cites Work

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• On the existence of multiple geodesics in static space-times
• An intrinsic approach to the geodesical connectedness of stationary Lorentzian manifolds
• Pseudoconvexity and geodesic connectedness
• Klein-Gordon solvability and the geometry of geodesics
• Energy conditions in standard static spacetimes
• Geodesic completeness in static space-times
• The space of geodesics
• Some properties of the spectral flow in semi-Riemannian geometry
• On completeness of certain families of semi-Riemannian manifolds
• Geodesic connectedness and conjugate points in GRW space-times
• Geodesic connectedness of semi-Riemannian manifolds.
• Spaces of geodesics: Products, coverings, connectedness
• Periodic trajectories in static space-times
• Geodesics in static spacetimes and t-periodic trajectories
• Stability of geodesic structures
• Existence of geodesics in static Lorentzian manifolds with convex boundary
• The Large Scale Structure of Space-Time

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