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January 2008, to be published in Physical Review D15
Boundary value problem for black rings
We study the boundary value problem for asymptotically flat stationary black ring solutions to the five-dimensional vacuum Einstein equations. Assuming the existence of two additional commuting axial Killing vector fields and the horizon topology of $\rm \rm S^1\times \rm S^2$, we show that the only asymptotically flat black ring solution with a regular horizon is the Pomeransky-Sen'kov black ring solution. © 2008 The American Physical Society.
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