A note on the Lorentzian splitting theorem

Published 7 Apr 2025 in math.DG and gr-qc | (2504.05028v2)

Abstract: We present a version of the Lorentzian splitting theorem under a weakened Ricci curvature condition. The proof makes use of basic properties of achronal limits [19], [20], together with the geometric maximum principle for $C^0$ spacelike hypersurfaces in [1]. Our version strengthens a related result in [29] in the globally hyperbolic setting by removing a certain boundedness condition on the Ricci curvature.

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Gregory J. Galloway

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