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On null cut points in two-dimensional spacetimes - MaRDI portal

On null cut points in two-dimensional spacetimes (Q2856983)

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scientific article; zbMATH DE number 6221342
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On null cut points in two-dimensional spacetimes
scientific article; zbMATH DE number 6221342

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    31 October 2013
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    causality
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    singularity theory
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    cut points
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    conjugate points
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    Cauchy surface
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    On null cut points in two-dimensional spacetimes (English)
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    Conjugate points and cut points play an important role in singularity theory and causality theory.NEWLINENEWLINENEWLINEThere are no null conjugate points in two-dimensional space-times, however, there exists a two-dimensional space-time in which every null geodesic has cut points. This space-time has compact Cauchy surfaces.NEWLINENEWLINENEWLINEIn the paper it is shown that for two-dimensional Lorentzian manifolds with noncompact Cauchy surfaces there exist no cut points along null geodesics.
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