The Newtonian Limit of Geometrostatics

Understand

This thesis discusses the Newtonian limit of General Relativity for static isolated systems with compactly supported matter.

• We call these systems "geometrostatic" to underline their geometric nature.
• We introduce new quasi-local notions of mass and center of mass that can be read off locally in the vicinity of the matter/black holes.
• We prove that these notions asymptotically coincide with ADM-mass and the Huisken-Yau CMC-center of mass.