Remarks on the Myers-Perry and Einstein Gauss-Bonnet Rotating Solutions

Details Remarks on the Myers-Perry and Einstein Gauss-Bonnet Rotating Solutions Remarks on the Myers-Perry and Einstein Gauss-Bonnet Rotating Solutions

2010-09-15

arxiv.org/abs/1009.3030v1

Int.J.Mod.Phys.D20:639-647,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1142/S0218271811018974

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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