Singularity versus splitting theorems for stably causal spacetimes
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Publication:1922789
DOI10.1007/BF00054475zbMath0861.53064OpenAlexW2004156329MaRDI QIDQ1922789
Eduardo García-Río, Demir N. Kupeli
Publication date: 13 May 1997
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00054475
Applications of global analysis to the sciences (58Z05) Space-time singularities, cosmic censorship, etc. (83C75) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Related Items (12)
Riemannian submersions and the regular interval theorem of Morse theory ⋮ Omniscient foliations and the geometry of cosmological spacetimes ⋮ Comparison theorems in Lorentzian geometry and applications to spacelike hypersurfaces ⋮ On level sets of Lorentzian distance function ⋮ Properly discontinuous isometric group actions on inhomogeneous Lorentzian manifolds ⋮ INVARIANT AND ANTI-INVARIANT RIEMANNIAN MAPS TO KÄHLER MANIFOLDS ⋮ Conformal Riemannian maps between Riemannian manifolds, their harmonicity and decomposition theorems ⋮ Compact null hypersurfaces in Lorentzian manifolds ⋮ Global decomposition of a Lorentzian manifold as a generalized Robertson-Walker space ⋮ On the geometry of generalized Robertson-Walker spacetimes: geodesics. ⋮ Some splitting theorems for stably causal space-times ⋮ A Berger-Green type inequality for compact Lorentzian manifolds
Cites Work
- Null cones and pseudo-Riemannian metrics
- Lines in space-times
- Twisted products in pseudo-Riemannian geometry
- The eikonal equation of an indefinite metric
- Riemannian submersions and the regular interval theorem of Morse theory
- Timelike lines
- General Relativity for Mathematicians
- General relativity and cosmology
- The Large Scale Structure of Space-Time
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