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

2010

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

Anabalon, A., Deruelle, N., Tempo, D. et al.

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Understand

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.

Built on

R.H. Boyer and R.W. Lindquist, Journ. Math. Phys
1967
Earlier work this paper cites.
R.P. Kerr and A. Schild, Proc. Symp. Appl. Math
1969
Earlier work this paper cites.
B. Carter, Black hole equilibrium states
Original
1972
Earlier work this paper cites.

Similar

R. Myers and M. Perry, Ann. Phys
1986
Cited alongside, same era.
G.W. Gibbons, H. Lu, Don N. Page, C.N. Pope, J.Geom.Phys
2005
Cited alongside, same era.
E. Ayon-Beato, C. Campuzano and A. Garcia, Phys.Rev
2006
Cited alongside, same era.
T. Malek and V. Pravda, arXiv:1009.1727v1 [gr-qc]
Original
Cited in the paper.

Then

G.W. Gibbons and H. Kodama, Prog.Theor.Phys
2009
Later among the works it cites.
A. Anabalón, N. Deruelle, Y. Morisawa, J. Oliva, M. Sasaki, D. Tempo, R. Troncoso, Class.Quant.Grav
2009
Later among the works it cites.

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