A note on the Gannon-Lee theorem
From MaRDI portal
Publication:2062617
DOI10.1007/s11005-021-01481-3zbMath1483.53039arXiv2101.04007OpenAlexW3213386441MaRDI QIDQ2062617
Benedict Schinnerl, Roland Steinbauer
Publication date: 27 December 2021
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.04007
Applications of branching processes (60J85) Space-time singularities, cosmic censorship, etc. (83C75) Geodesics in global differential geometry (53C22) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Causal inference from observational studies (62D20)
Related Items (6)
The codimension 2 null cut locus with applications to spacetime topology ⋮ The Hawking-Penrose singularity theorem for \(C^1\)-Lorentzian metrics ⋮ A semiclassical singularity theorem ⋮ The singularity theorems of general relativity and their low regularity extensions ⋮ Rényi's entropy on Lorentzian spaces. Timelike curvature-dimension conditions ⋮ On the asymptotic assumptions for Milne-like spacetimes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global hyperbolicity for spacetimes with continuous metrics
- Convex neighborhoods for Lipschitz connections and sprays
- A generalization of Hawking's black hole topology theorem to higher dimensions
- Lorentz and semi-Riemannian spaces with Alexandrov curvature bounds
- The existence of embedded minimal surfaces and the problem of uniqueness
- On the topology of spacelike hypersurfaces, singularities, and black holes
- A restriction on the topology of Cauchy surfaces in general relativity
- Topology and singularities in cosmological spacetimes obeying the null energy condition
- The Hawking-Penrose singularity theorem for \(C^{1,1}\)-Lorentzian metrics
- The \(C^0\)-inextendibility of the Schwarzschild spacetime and the spacelike diameter in Lorentzian geometry
- Inextendibility of spacetimes and Lorentzian length spaces
- Lyapounov functions of closed cone fields: from Conley theory to time functions
- Timelike completeness as an obstruction to \(C^{0}\)-extensions
- Lorentzian length spaces
- Lorentzian causality theory
- Singularity theorems for \(C^1\)-Lorentzian metrics
- A gravitational collapse singularity theorem consistent with black hole evaporation
- The future is not always open
- Definition and stability of Lorentzian manifolds with distributional curvature
- A regularisation approach to causality theory for \(C^{1,1}\)-Lorentzian metrics
- On Lorentzian causality with continuous metrics
- Minimal surfaces, spatial topology and singularities in space-time
- Maximizers in Lipschitz spacetimes are either timelike or null
- The Penrose singularity theorem in regularity C 1,1
- On the Gannon–Lee singularity theorem in higher dimensions
- On the Geroch–Traschen class of metrics
- Singularities in nonsimply connected space–times
- Topological censorship
- On null and causal pseudoconvex space-times
- A new derivation of singularity theorems with weakened energy hypotheses
- A note on causality conditions on covering spacetimes
- Causal simplicity and (maximal) null pseudoconvexity
- Causality theory for closed cone structures with applications
- Hawking’s singularity theorem for C 1,1 -metrics
- The Large Scale Structure of Space-Time
- On the Problems of Geodesics in the Small
- Black holes in higher dimensions
This page was built for publication: A note on the Gannon-Lee theorem
