On the center of mass of isolated systems

Physics

Scientific paper

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Scientific paper

We discuss the center of mass of asymptotically flat manifolds. Our main result is that for a class of metrics that includes those which near infinity are conformally flat with vanishing scalar curvature and positive mass, the Huisken Yau geometric center of mass agrees with the center of mass defined by the ADM formulation of the initial-value problem for Einstein's equation.

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