REMARKS ON THE MYERS-PERRY AND EINSTEIN–GAUSS–BONNET ROTATING SOLUTIONS

Author:

ANABALÓN ANDRES1,DERUELLE NATHALIE2,TEMPO DAVID3,TRONCOSO RICARDO34

Affiliation:

1. Departamento de Ciencias, Facultad de Artes Liberales, Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Viña del Mar, Chile

2. APC, UMR 7164 du CNRS, Université Paris 7, 75205 Paris Cedex13, France

3. Centro de Estudios Científicos (CECS), Casilla 1469, Valdivia, Chile

4. Centro de Ingeniería de la Innovación del CECS (CIN), Valdivia, Chile

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics

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