A note on the boundary of a static Lorentzian manifold.
type: Item
instance of: scholarly article
title: A note on the boundary of a static Lorentzian manifold.
zbMATH Open document ID: 1036.53047
DOI: 10.1016/S0926-2245(02)00062-1
author: Rossella Bartolo
author: Miguel Sánchez
author: Anna Valeria Germinario
published in: Differential Geometry and its Applications
publication date: 2002-08-14T00:00:00Z
review text: The authors generalize the notion of convexity from the Euclidean signature to Lorentzian signature. To this end they use geodesics, and define a set to be convex iff with each two of its points, if they can be joined by a geodesic arc, this arc also lies within this set. They give several characterizations for convexity, and use a variational principle for the proofs.
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 58E10
Mathematics Subject Classification ID: 83C10
zbMATH DE Number: 1780864
zbMATH Keywords: static Lorentzian manifold
zbMATH Keywords: geodesic
zbMATH Keywords: convexity
reviewed by: Hans-Jürgen Schmidt
Wikidata QID: Q115338218
MaRDI profile type: Publication
cites work: Geodesics with prescribed energy on static Lorentzian manifolds with convex boundary
cites work: Periodic trajectories with fixed energy on Riemannian and Lorentzian manifolds with boundary
cites work: Convexity of domains of Riemannian manifolds
cites work: Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural hamiltonian systems
cites work: Q4720334
cites work: Q4767876
cites work: Q4853560
cites work: Rigidity and convexity of hypersurfaces in spheres
cites work: A Fermat principle for stationary space-times and applications to light rays
cites work: Q4865364
cites work: Existence and multiplicity results for massive particles trajectories in a universe with boundary
cites work: A variational theory for light rays in stably causal Lorentzian manifolds: regularity and multiplicity results
cites work: A timelike extension of Fermat's principle in general relativity and applications
cites work: Q4225677
cites work: A Morse theory for massive particles and photons in general relativity
cites work: Q4314478
cites work: The imbedding problem for Riemannian manifolds
cites work: Geodesics in static spacetimes and t-periodic trajectories
description: scientific article; zbMATH DE number 1780864