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Elements of causality theory

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arxiv 1110.6706 v1 pith:Y5SOQXPF submitted 2011-10-31 gr-qc

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keywords theorycausalityelementssomeallowsapproachargumentscausal
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These notes present some elements of causality theory. While they are not as complete as other treatments of the topic, there is some originality in that the whole approach is based on a definition of causal curves which allows to simplify many arguments. We keep track of the differentiability needed for various statements, obtaining a coherent theory for twice-continuously-differentiable metrics.

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  1. New perspectives on the d'Alembertian from general relativity. An invitation

    math.DG 2025-01 conditional novelty 2.0 of 10

    A review of the p-d'Alembertian framework for Lorentzian distance functions, giving distributional comparison theorems across the timelike cut locus.

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