Cauchy and uniform temporal functions of globally hyperbolic cone fields
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Publication:5119244
DOI10.1090/proc/15106zbMath1446.53054arXiv1905.06006OpenAlexW3014209651MaRDI QIDQ5119244
Publication date: 3 September 2020
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.06006
Stability of topological dynamical systems (37B25) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Related Items (6)
Lorentzian manifolds properly isometrically embeddable in Minkowski spacetime ⋮ Global hyperbolicity through the eyes of the null distance ⋮ On the regularity of Cauchy hypersurfaces and temporal functions in closed cone structures ⋮ Globally hyperbolic spacetimes: slicings, boundaries and counterexamples ⋮ Low regularity extensions beyond Cauchy horizons ⋮ Lightlike hypersurfaces and time-minimizing geodesics in cone structures
Cites Work
- Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions
- Lyapounov functions of closed cone fields: from Conley theory to time functions
- Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
- Global hyperbolicity is stable in the interval topology
- Lorentzian manifolds isometrically embeddable in 𝕃^{ℕ}
- On smooth time functions
- Globally hyperbolic spacetimes can be defined as ‘causal’ instead of ‘strongly causal’
- Partitions of Unity for Countable Covers
- Causality theory for closed cone structures with applications
- On the existence of smooth Cauchy steep time functions
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