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Title:
The Kerr spacetime in generalized Bondi Sachs coordinates
Authors:
Fletcher, S. J.; Lun, A. W. C.
Affiliation:
AA(School of Mathematical Sciences, PO Box 28M, Monash University, Victoria 3800, Australia ), AB(School of Mathematical Sciences, PO Box 28M, Monash University, Victoria 3800, Australia )
Publication:
Classical and Quantum Gravity, Volume 20, Issue 19, pp. 4153-4167 (2003).
Publication Date:
10/2003
Origin:
IOP
DOI:
10.1088/0264-9381/20/19/302
Bibliographic Code:
2003CQGra..20.4153F

Abstract

In this paper we define a generalized Bondi Sachs (GBS) coordinate system. We utilize the null geodesics with zero angular momentum in the Kerr spacetime to transform the metric into GBS form. We write down the Kerr metric components explicitly in these new coordinates. The flat (M = 0) subcase of the Kerr spacetime can be shown to be coordinatized by null geodesics emanating from a ring. The curved (M \not= 0) subcase with a = 0 is the Schwarzschild spacetime in outgoing Eddington Finkelstein coordinates. We analyse the important physical properties of the Kerr spacetime in the new coordinates. We conclude with the suggestion that a radiating generalization of the Kerr spacetime is most likely to be found in GBS coordinates.
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