On the Center of Mass of Isolated Systems with General Asymptotics

Details On the Center of Mass of Isolated Systems with General Asymptotics On the Center of Mass of Isolated Systems with General Asymptotics

2008-08-05

arxiv.org/abs/0808.0563v2

Class. Quantum Grav. 26 (2009) 015012

Mathematics

Differential Geometry

Final version

Scientific paper

10.1088/0264-9381/26/1/015012

We propose a definition of center of mass for asymptotically flat manifolds satisfying Regge-Teitelboim condition at infinity. This definition has a coordinate-free expression and natural properties. Furthermore, we prove that our definition is consistent both with the one proposed by Corvino and Schoen and another by Huisken and Yau. The main tool is a new density theorem for data satisfying the Regge-Teitelboim condition.

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