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20242026
most citedCausal convergence conditions through variable timelike Ricci curvature bounds

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math.DG2025

A Lorentzian splitting theorem for continuously differentiable metrics and weights

Mathias Braun, Nicola Gigli, Robert J. McCann +2

We prove a splitting theorem for globally hyperbolic, weighted spacetimes with metrics and weights of regularity by combining elliptic techniques for the negative homogeneity…

math-ph2025

Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems

Robert J. McCann

While Einstein's theory of gravity is formulated in a smooth setting, the celebrated singularity theorems of Hawking and Penrose describe many physical situations in which this smo…