2 papers
math.AP2026
Geometrically defined asymptotic coordinates in General Relativity
Carla Cederbaum, Jan Metzger
We review and announce recent results on the asymptotic behavior of asymptotically Euclidean relativistic initial data sets and asymptotic foliations thereof. In particular, we dis…
math.DG2025
Local space time constant mean curvature and constant expansion foliations
Jan Metzger, Alejandro Peñuela Diaz
Inspired by the small sphere-limit for quasi-local energy we study local foliations of surfaces with prescribed mean curvature. Following the strategy used by Ye in 1991 to study l…