Remarks on the Myers-Perry and Einstein Gauss-Bonnet Rotating Solutions
A. Anabalon, N. Deruelle, D. Tempo, R. Troncoso
TL;DR
This paper compares five-dimensional Myers-Perry and Einstein-Gauss-Bonnet rotating solutions, highlighting differences in their geometric properties and implications for coordinate systems and manifold extension.
Contribution
It analyzes the geometric distinctions between Myers-Perry and Einstein-Gauss-Bonnet solutions, focusing on circularity and coordinate system implications.
Findings
Myers-Perry spacetime is circular, unlike Einstein-Gauss-Bonnet rotating solutions.
Differences affect the existence of Boyer-Lindquist coordinates.
Implications for manifold extension vary between solutions.
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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