Geometrically defined asymptotic coordinates in General Relativity
Analysis of PDEs
2026-04-09 v1 General Relativity and Quantum Cosmology
Differential Geometry
Abstract
We review and announce recent results on the asymptotic behavior of asymptotically Euclidean relativistic initial data sets and asymptotic foliations thereof. In particular, we discuss the geometrization of asymptotic flatness and of asymptotic geometric (in-)\-variants such as mass, energy, linear momentum, angular momentum and center of mass as well as their relations to certain geometric asymptotic foliations such as the CMC- and STCMC-foliations.
Keywords
Cite
@article{arxiv.2604.07168,
title = {Geometrically defined asymptotic coordinates in General Relativity},
author = {Carla Cederbaum and Jan Metzger},
journal= {arXiv preprint arXiv:2604.07168},
year = {2026}
}
Comments
To appear in the final report of the DFG priority program SPP 2026 Geometry at Infinity (Springer)