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Phys. Rev. D 73, 084023 (2006) [6 pages]

Kerr metric in Bondi-Sachs form

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Nigel T. Bishop and Liebrecht R. Venter
Department of Mathematical Sciences, University of South Africa, P.O. Box 392, Unisa 0003, South Africa

Received 15 December 2005; revised 24 February 2006; published 21 April 2006

A metric representing the Kerr geometry has been obtained by Pretorius and Israel. We make coordinate transformations on this metric, to bring it into Bondi-Sachs form. We investigate the behavior of the metric near the axis of symmetry and confirm elementary flatness, and we also confirm that it is asymptotic to the Bondi-Sachs form of the Schwarzschild geometry. The results obtained here are needed so that numerical relativity codes based on the characteristic formalism can be applied to a situation that contains a rotating black hole.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.73.084023
DOI:
10.1103/PhysRevD.73.084023
PACS:
04.25.Dm, 04.20.Jb