On the Relation between Adm and Bondi Energy-momenta Iii – Perturbed Radiative Spatial Infinity
نویسندگان
چکیده
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 .
منابع مشابه
On the Relation between Adm and Bondi Energy-momenta Ii – Radiative Spatial Infinity
It is a fundamental problem in gravitational radiation what the relation is between the ADM energy-momentum and the Bondi energy-momentum. Ashtekar and Magnon-Ashtekar demonstrated the mass at spatial infinity is the past limit of the Bondi mass taken as the cut approaches the “point” of spatial infinity in the frame of Penrose conformal compactification [2]. It was proved the standard ADM mass...
متن کاملOn the Relation between Adm and Bondi Energy-momenta – Radiative Spatial Infinity
It is a fundamental problem in gravitational radiation what the relation is between the ADM energy-momentum and the Bondi energy-momentum. Ashtekar and Magnon-Ashtekar demonstrated the mass at spatial infinity is the past limit of the Bondi mass taken as the cut approaches the “point” of spatial infinity in the frame of Penrose conformal compactification [2] (See also the related works [6, 9, 1...
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