Normal geodesics in static spacetimes with critical asymptotic behavior

DOI10.1016/J.NA.2004.09.032zbMath1159.53322OpenAlexW2033550257MaRDI QIDQ999529

Anna Maria Candela

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.09.032

zbMATH Keywords

variational principlenormal geodesicsquadratic growthLjusternik-Schnirelman categorystatic spacetimes

Mathematics Subject Classification ID

Variational inequalities (49J40) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (1)

Orthogonal trajectories on Riemannian manifolds and applications to plane wave type spacetimes

Cites Work

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• On the existence of multiple geodesics in static space-times
• On p-convex sets and geodesics
• On the existence of infinitely many geodesics on space-time manifolds
• Light rays joining two submanifolds in space-times
• A quadratic Bolza-type problem in a Riemannian manifold.
• Some global properties of static spacetimes
• On the geometry of generalized Robertson-Walker spacetimes: geodesics.
• Geodesic connectedness and conjugate points in GRW space-times
• Normal geodesics in stationary Lorentzian manifolds with unbounded coefficients
• On causality and closed geodesics of compact Lorentzian manifolds and static spacetimes
• Lusternik-Schnirelman theory on Banach manifolds
• Category of loop spaces of open subsets in euclidean space
• Critical points and nonlinear variational problems
• Geodesics in Static Lorentzian Manifolds with Critical Quadratic Behavior
• The Large Scale Structure of Space-Time
• Riemannian geometry
• Existence and multiplicity of normal geodesics in Lorentzian manifolds

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