Lorentz Meets Lipschitz
نویسندگان
چکیده
We show that maximal causal curves for a Lipschitz continuous Lorentzian metric admit $\mathcal{C}^{1,1}$-parametrization and they solve the geodesic equation in sense of Filippov this parametrization. Our proof shows are either everywhere lightlike or timelike. Furthermore, demonstrates an $\alpha$-H\"older $\mathcal{C}^{1,\frac{\alpha}{4}}$-parametrization.
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ژورنال
عنوان ژورنال: Advances in Theoretical and Mathematical Physics
سال: 2021
ISSN: ['1095-0753', '1095-0761']
DOI: https://doi.org/10.4310/atmp.2021.v25.n8.a4