A note on the boundary of a static Lorentzian manifold.

DOI10.1016/S0926-2245(02)00062-1zbMath1036.53047WikidataQ115338218 ScholiaQ115338218MaRDI QIDQ1608963

Miguel Sánchez, Rossella Bartolo, Anna Valeria Germinario

Publication date: 14 August 2002

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

convexitygeodesicstatic Lorentzian manifold

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Equations of motion in general relativity and gravitational theory (83C10) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (8)

Convex regions of stationary spacetimes and Randers spaces. Applications to lensing and asymptotic flatness ⋮ Connectivity by geodesics in open subsets of globally hyperbolic spacetimes ⋮ Geodesics in stationary spacetimes and classical Lagrangian systems ⋮ Some De Lellis-Topping type inequalities and their applications on an NCC Riemannian triple with boundary ⋮ On the energy functional on Finsler manifolds and applications to stationary spacetimes ⋮ On the geometry of static spacetimes ⋮ CONVEXITY CONDITIONS ON THE BOUNDARY OF A STATIONARY SPACETIME AND APPLICATIONS ⋮ Infinitesimal and Local Convexity of a Hypersurface in a Semi-Riemannian Manifold

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The imbedding problem for Riemannian manifolds
• Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural hamiltonian systems
• A Fermat principle for stationary space-times and applications to light rays
• A variational theory for light rays in stably causal Lorentzian manifolds: regularity and multiplicity results
• A timelike extension of Fermat's principle in general relativity and applications
• Periodic trajectories with fixed energy on Riemannian and Lorentzian manifolds with boundary
• A Morse theory for massive particles and photons in general relativity
• Convexity of domains of Riemannian manifolds
• Geodesics with prescribed energy on static Lorentzian manifolds with convex boundary
• Rigidity and convexity of hypersurfaces in spheres
• Geodesics in static spacetimes and t-periodic trajectories
• Existence and multiplicity results for massive particles trajectories in a universe with boundary

This page was built for publication: A note on the boundary of a static Lorentzian manifold.