Evaluation of the ADM mass and center of mass via the Ricci tensor

Abstract

We prove directly without using a density theorem that (i) the ADM mass defined in the usual way on an asymptotically flat manifold is equal to the mass defined intrinsically using Ricci tensor; (ii) the Hamiltonian formulation of center of mass and the center of mass defined intrinsically using Ricci tensor are the same.

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References in corpus (1)

• On the center of mass in general relativity