Bondi mass in terms of the Penrose conformal factor

Physics

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Scientific paper

Within the framework of the Penrose conformal approach to asymptotical flatness we find minimal conditions on the Ricci tensor of the physical metric tilde g which guarantee that the Bondi mass and momentum are well defined. The energy-momentum vector, the Bondi news functions and the energy loss formula are expressed in terms of the Penrose conformal factor. An approximate Bondi-Sachs form of the metric tilde g is constructed. The Robinson-Trautman metrics are considered as an example.

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