On the Relation between Adm and Bondi Energy-momenta
نویسنده
چکیده
Abstract. When a spacetime takes Bondi radiating metric, and is vacuum and asymptotically flat at spatial infinity which ensures the positive mass theorem, we prove that the standard ADM energy-momentum is the past limit of the Bondi energy-momentum. We also derive a formula relating the ADM energy-momentum of any asymptotically flat spacelike hypersurface to the Bondi energy-momentum of any null hypersurface. The formula indicates that the Bondi mass is always less than the ADM total energy if the system has news. The assumed asymptotic flatness precludes gravitational radiation. We therefore study further the relation between the ADM total energy and the Bondi mass when gravitational radiation emits. We find that in this case the ADM total energy is no longer the past limit of the Bondi mass. They differ by certain quantity relating to the news of the system.
منابع مشابه
On the Relation between Adm and Bondi Energy-momenta Iii – Perturbed Radiative Spatial Infinity
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 ...
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