Smoothing and extending cosmic time functions

DOI10.1007/BF00759586zbMath0425.53032OpenAlexW2035258868MaRDI QIDQ1135534

Hans-Juergen Seifert

Publication date: 1977

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00759586

zbMATH Keywords

stable causalityspacelike hypersurfacesspace timeglobal time functionspecial coordinates

Mathematics Subject Classification ID

General relativity (83C99) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (19)

Mathematical general relativity: A sampler ⋮ Chronological spacetimes without lightlike lines are stably causal ⋮ On differentiability of volume time functions ⋮ Time functions revisited ⋮ ASPECTS OF NONCOMMUTATIVE LORENTZIAN GEOMETRY FOR GLOBALLY HYPERBOLIC SPACETIMES ⋮ Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions ⋮ Functions of time type, curvature and causality theory ⋮ Time functions as utilities ⋮ Global hyperbolicity of a spatially closed space-time ⋮ Cauchy surfaces in a globally hyperbolic space-time ⋮ A class of stationary charged dust solutions of Einstein's field equations ⋮ Cauchy-compact flat spacetimes with extreme BTZ ⋮ Structure of globally hyperbolic spacetimes-with-timelike-boundary ⋮ Lorentzian causality theory ⋮ Linking and causality in globally hyperbolic space-times ⋮ Causality theory for closed cone structures with applications ⋮ On smooth Cauchy hypersurfaces and Geroch's splitting theorem ⋮ Some global aspects of compact space-times ⋮ Globally hyperbolic spacetimes: slicings, boundaries and counterexamples

Cites Work

• The causal boundary of space-times
• The occurrence of singularities in cosmology. ɪɪɪ. Causality and singularities
• Domain of Dependence
• The Large Scale Structure of Space-Time

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