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On the relation between ADM and Bondi energy-momenta III -- perturbed radiative spatial infinity

Wen-ling Huang, Xiao Zhang

gr-qcarXiv:gr-qc/0601022

Abstract

In a vacuum spacetime equipped with the Bondi's radiating metric which is asymptotically flat at spatial infinity including gravitational radiation ( Condition D), we establish the relation between the ADM total energy-momentum and the Bondi energy-momentum for perturbed radiative spatial infinity. The perturbation is given by defining the "real" time the sum of the retarded time, the Euclidean distance and certain function f.

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