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Asymptotic flatness and algebraically special metrics

W Natorf and J Tafel

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We develop a formalism that allows us to obtain an approximate Bondi–Sachs form of metrics which are asymptotically flat at null infinity \mathscr{I\;}^+. We find conditions which assure that algebraically special metrics fall into this class. For these metrics we calculate the Bondi mass aspect, the angular momentum aspect and the news function.


PACS

04.20.Ha Asymptotic structure

02.10.Yn Matrix theory

MSC

83C30 Asymptotic procedures (radiation, news functions, H-spaces, etc.)

83C20 Classes of solutions; algebraically special solutions, metrics with symmetries

Subjects

Mathematical physics

Gravitation and cosmology

Dates

Issue 23 (7 December 2004)

Received 13 July 2004

Published 9 November 2004



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