CONVEXITY CONDITIONS ON THE BOUNDARY OF A STATIONARY SPACETIME AND APPLICATIONS
From MaRDI portal
Publication:3648312
DOI10.1142/S0219199709003545zbMath1183.58007MaRDI QIDQ3648312
Anna Valeria Germinario, Rossella Bartolo
Publication date: 25 November 2009
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
geodesicsstationary Lorentzian manifoldsconvexity of the boundaryvariational methods, Kerr spacetime
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
Convex regions of stationary spacetimes and Randers spaces. Applications to lensing and asymptotic flatness ⋮ Connectivity by geodesics in open subsets of globally hyperbolic spacetimes ⋮ Infinitesimal and Local Convexity of a Hypersurface in a Semi-Riemannian Manifold
Cites Work
- Geodesics in stationary spacetimes and classical Lagrangian systems
- Periodic solutions of Lagrangian systems on a compact manifold
- On the existence of geodesics on stationary Lorentz manifolds with convex boundary
- On the existence of closed geodesics on noncompact Riemannian manifolds
- On the existence of infinitely many geodesics on space-time manifolds
- A Fermat principle for stationary space-times and applications to light rays
- Periodic trajectories with fixed energy on Riemannian and Lorentzian manifolds with boundary
- Convexity of domains of Riemannian manifolds
- A note on the boundary of a static Lorentzian manifold.
- Category of loop spaces of open subsets in euclidean space
- Time-like periodic trajectories in stationary Lorentz manifolds
- Periodic orbits in magnetic fields and Ricci curvature of Lagrangian systems
- Geodesics in static spacetimes and t-periodic trajectories
- Closed geodesics in Riemannian manifolds with convex boundary
- Trajectories of charged particles in a region of a stationary spacetime
- The Large Scale Structure of Space-Time
