On the splitting problem for Lorentzian manifolds with an \({\mathbb {R}}\)-action with causal orbits

DOI10.1007/s00023-017-0551-8zbMath1367.83012arXiv1605.02345OpenAlexW2963961588MaRDI QIDQ529865

Ivan P. Costa e Silva, José Luis Flores

Publication date: 9 June 2017

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02345

zbMATH Keywords

geometric structurescosmic censorshipLorentzian manifoldscausal orbitsconformal Killing null vector fieldsplitting problem

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) PDEs in connection with relativity and gravitational theory (35Q75) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (5)

Omniscient foliations and the geometry of cosmological spacetimes ⋮ Lorentzian manifolds with causal Killing vector field: causality and geodesic connectedness ⋮ Some remarks on conformal symmetries and Bartnik's splitting conjecture ⋮ Lightlike manifolds and Cartan geometries ⋮ Parallel spinors on globally hyperbolic Lorentzian four-manifolds

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