The abstract boundary -- a new approach to singularities of manifolds
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Publication:1326562
DOI10.1016/0393-0440(94)90032-9zbMath0795.53061arXivgr-qc/9405063OpenAlexW3103888023MaRDI QIDQ1326562
Peter Szekeres, Susan M. Scott
Publication date: 18 May 1994
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/gr-qc/9405063
Space-time singularities, cosmic censorship, etc. (83C75) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Related Items (13)
Boundaries on spacetimes: causality, topology, and group actions ⋮ On the definition of black holes: bridging the gap between black holes and singularities ⋮ Causal boundaries and holography on wave type spacetimes ⋮ A correspondence between distances and embeddings for manifolds: new techniques for applications of the abstract boundary ⋮ Examples of covering properties of boundary points of space-times ⋮ The chart based approach to studying the global structure of a spacetime induces a coordinate invariant boundary ⋮ The endpoint theorem * ⋮ Lorentzian causality theory ⋮ Hausdorff separability of the boundaries for spacetimes and sequential spaces ⋮ Unwrapping closed timelike curves ⋮ Singularity theorems and their consequences ⋮ The stability of abstract boundary essential singularities ⋮ Editor's note: `On the singularities of a Riemannian manifold' by György Szekeres. With a short autobiographical note by György Szekeres
Cites Work
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- The Curzon singularity. I: Spatial sections
- The Curzon singularity. II: Global picture
- Singular space-times
- On the b-boundary of the closed Friedman-model
- A new definition of singular points in general relativity
- Singularities: The state of the art
- Extensions of the Curzon metric
- What is a singularity in general relativity?
- Maximal Extension of Schwarzschild Metric
- Radon-Fourier transforms on symmetric spaces and related group representations
- Local Characterization of Singularities in General Relativity
- Ideal points in space-time
- The Large Scale Structure of Space-Time
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