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Bondi mass in terms of the Penrose conformal factor

J Tafel

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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.


PACS

04.30.-w Gravitational waves

04.20.-q Classical general relativity

MSC

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

83C35 Gravitational waves

Subjects

Gravitation and cosmology

Dates

Issue 21 (7 November 2000)

Received 11 July 2000



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