A Lorentzian splitting theorem holds for C^1 metrics and weights: a complete timelike line forces the spacetime to split as R times a Riemannian factor.
Beem, Paul E
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A Lorentzian splitting theorem for continuously differentiable metrics and weights
A Lorentzian splitting theorem holds for C^1 metrics and weights: a complete timelike line forces the spacetime to split as R times a Riemannian factor.