Phys. Rev. D 72, 124017 (2005) [12 pages]Structure of stationary and axisymmetric metricsReceived 12 September 2005; published 16 December 2005 We study the structure of stationary and axisymmetric metrics solving the vacuum Einstein equations of general relativity in four and higher dimensions, building on recent work in Phys. Rev. D 70 124002 (2004). We write the Einstein equations in a new form that naturally identifies the sources for such metrics. The sources live in a one-dimensional subspace and the entire metric is uniquely determined by them. We study in detail the structure of stationary and axisymmetric metrics in four dimensions, and consider as an example the sources of the Kerr black hole. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.72.124017
DOI:
10.1103/PhysRevD.72.124017
PACS:
04.20.Jb, 04.50.+h, 04.70.Bw
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