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

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

2006-01-06

arxiv.org/abs/gr-qc/0601022v4

Sci.China 50:1217-1226,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, formulas simplified

Scientific paper

In a vacuum spacetime equipped with the Bondi's radiating metric which is asymptotically flat at spatial infinity including gravitational radiation ({\bf 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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