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Cauchy and uniform temporal functions of globally hyperbolic cone fields

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arxiv 1905.06006 v2 pith:K7R57KEQ submitted 2019-05-15 math.DS math-phmath.MP

Patrick Bernard (CEREMADE , DMA) , Stefan Suhr (RUB) This is my paper · ORCID
classification math.DSmath-phmath.MP
keywords functionstemporaluniformcauchyconefieldsgloballyhyperbolic
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We study a class of time functions called uniform temporal functions in the general context of globally hyperbolic closed cone fields. We prove some existence results for uniform temporal functions, and prove the density of uniform temporal functions in Cauchy causal functions.

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  1. Unit Killing Initial Data

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Unit directions of Killing fields in Einstein-Lambda spacetimes are characterized from Cauchy-surface data by a new nonlinear PDE system (uKID), derived two ways and shown to admit at most n(n+1)/2 - 1 independent solutions.

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