3 papers
math.DG2026
A low-regularity Riemannian positive mass theorem for non-spin manifolds with distributional curvature
Eduardo Hafemann
This article establishes a low-regularity Riemannian positive mass theorem for non-spin manifolds whose metrics are only and smooth outside a comp…
gr-qc2025
Penrose inequality for integral energy conditions
Eduardo Hafemann, Eleni-Alexandra Kontou
The classical Penrose inequality, a relation between the ADM mass and the area of any cross section of the black hole event horizon, was introduced as a test of the weak cosmic cen…
math.DG2025
Hawking's singularity theorem for Lipschitz Lorentzian metrics
Matteo Calisti, Melanie Graf, Eduardo Hafemann +2
We prove Hawking's singularity theorem for spacetime metrics of local Lipschitz regularity. The proof rests on (1) new estimates for the Ricci curvature of regularising smooth metr…