Kerr metric in Bondi-Sachs form

Nigel T. Bishop and Liebrecht R. Venter
Phys. Rev. D 73, 084023 – Published 21 April 2006

Abstract

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.

  • Received 15 December 2005

DOI:https://doi.org/10.1103/PhysRevD.73.084023

©2006 American Physical Society

Authors & Affiliations

Nigel T. Bishop and Liebrecht R. Venter

  • Department of Mathematical Sciences, University of South Africa, P.O. Box 392, Unisa 0003, South Africa

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Issue

Vol. 73, Iss. 8 — 15 April 2006

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