The Kerr spacetime in generalized Bondi Sachs coordinates

Details The Kerr spacetime in generalized Bondi Sachs coordinates The Kerr spacetime in generalized Bondi Sachs coordinates

Oct 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003cqgra..20.4153f&link_type=abstract

Classical and Quantum Gravity, Volume 20, Issue 19, pp. 4153-4167 (2003).

Physics

15

Scientific paper

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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