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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…
math-ph2024★ 1 cited
Causal convergence conditions through variable timelike Ricci curvature bounds
Mathias Braun, Robert J. McCann
We describe a nonsmooth notion of globally hyperbolic, regular length metric spacetimes . It is based on ideas of Kunzinger-Sämann, but does not require Lipschitz c…