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The Pomeransky-Sen'kov solution is well known to describe an asymptotically flat doubly rotating black ring in five dimensions, whose self-gravity is exactly balanced by the centrifugal force arising from the rotation in the ring direction.
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S. Tomizawa and M. Nozawa, “Vacuum solutions of five-dimensional Einstein equations generated by inverse scattering method. II. Production of black ring solution,” Phys. Rev. D 73
2006
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H. Elvang and P. Figueras, “Black Saturn,” JHEP 0705
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H. Elvang and M. J. Rodriguez, “Bicycling black rings,” JHEP 0804
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R. Emparan and H. S. Reall, “Black holes in higher dimensions,” Living Rev. Rel. 11
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2009
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J. Hoskisson, “A charged doubly spinning black ring,” Phys. Rev. D 79
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2010
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D. V. Gal’tsov and N. G. Scherbluk, “Three-charge doubly rotating black ring,” Phys. Rev. D 81
2010
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2010
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Y. Chen and E. Teo, “Black holes on gravitational instantons,” Nucl. Phys. B 850
2011
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