In mathematical physics, global hyperbolicity is a certain condition on the causal structure of a spacetime manifold It is called hyperbolic in analogy with ...
May 21, 2019 · Global hyperbolicity (GH) is basically a type of determinism. And GR itself doesn't require GH; it's just a reasonable suggestion that you ...
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Dec 21, 2023 · There are several equivalent definitions of global hyperbolicity. A simple one is: Definition 2.1. A Lorentzian manifold (without boundary) ...
Jul 15, 2021 · Title:On Global Hyperbolicity of Spacetimes: Topology Meets Functional Analysis ... Abstract:This chapter is an up-to-date account of results on ...
Sep 30, 2022 · Title:Global Hyperbolicity through the Eyes of the Null Distance ; Subjects: Differential Geometry (math.DG); General Relativity and Quantum ...
PDF | Global hyperbolicity is a central concept in Mathematical Relativity. Here, we review the different approaches to this concept explaining both,.
Global Hyperbolicity through the Eyes of the Null Distance - SpringerLink
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Mar 19, 2024 · Global hyperbolicity establishes a deep link between the topology of M and the causal structure induced by the metric tensor g. The causal ...
Dec 1, 2017 · Global hyperbolicity is the most important condition on causal structure space-time, which is involved in problems as cosmic censorship ...
Global hyperbolicity and completeness - ScienceDirect.com
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We prove global hyperbolicity of spacetimes under generic regularity conditions on the metric. We then show that these spacetimes are timelike and null ...
Mar 15, 2021 · We deal with global hyperbolicity and factorization of spacetimes and vector bundles that appear in mathematical models of homogeneous cosmology ...