Tuesday, 16 September 2014

general relativity - Kerr Metric in Orthogonal form


I've seen the Kerr metric usually presented in the Boyer-Lindquist coordinates where there is a cross term in the $d\phi$ and $dt$ term. I've done a good bit of searching and cannot find any coordinates which express the Kerr metric in an orthogonal fashion. Is there ANY choice of coordinates that eliminates all cross terms/off-diagonal terms for the Kerr metric?


If not, is it just a fact that you can never find such a coordinate transformation because of the inherent geometry of the Kerr space-time?




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