Abstract
The Kerr-type solutions of the five-dimensional Einstein and Einstein–Gauss–Bonnet equations look pretty similar when written in Kerr–Schild form. However the Myers-Perry spacetime is circular whereas the rotating solution of the Einstein–Gauss–Bonnet theory is not. We explore some consequences of this difference in particular regarding the (non)existence of Boyer–Lindquist-type coordinates and the extension of the manifold.
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