Boundary Value Problem for Black Rings

Abstract

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 $S^1\times S^2$, we show that the only asymptotically flat black ring solution with a regular horizon is the Pomeransky-Sen'kov black ring solution.

21 pages, 1 figure

References in corpus (1)

• Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes

Cited by in corpus (4)

• Bicycling Black Rings
• The symmetries of five-dimensional minimal supergravity reduced to three dimensions
• Uniqueness theorem for stationary black ring solution of $\sigma$-models in five dimensions
• Multi-Black Rings on Eguchi-Hanson Space