Title: Uniqueness theorems for Kaluza-Klein black holes in five-dimensional minimal supergravity Show Chinese title

Title: 关于五维极小超引力中Kaluza-Klein黑洞的唯一性定理

Abstract: We show uniqueness theorems for Kaluza-Klein black holes in the bosonic sector of five-dimensional minimal supergravity. More precisely, under the assumptions of the existence of two commuting axial isometries and a non-degenerate connected event horizon of the cross section topology S^3, or lens space, we prove that a stationary charged rotating Kaluza-Klein black hole in five-dimensional minimal supergravity is uniquely characterized by its mass, two independent angular momenta, electric charge, magnetic flux and nut charge, provided that there does not exist any nuts in the domain of outer communication. We also show that under the assumptions of the same symmetry, same asymptotics and the horizon cross section of S^1\times S^2, a black ring within the same theory---if exists---is uniquely determined by its dipole charge and rod structure besides the charges and magnetic flux. Show Chinese abstract

Abstract: 我们展示了五维最小超引力的玻色子部分中Kaluza-Klein黑洞的唯一性定理。 更准确地说，在假设存在两个交换的轴向等距同构以及截面拓扑为S^3或透镜空间的非退化连通事件视界的条件下，我们证明了在五维最小超引力中的静止带电旋转Kaluza-Klein黑洞由其质量、两个独立的角动量、电荷、磁通量和坚果电荷唯一确定，前提是外交流域内不存在任何坚果。 我们也展示了在相同的对称性假设、相同渐近条件以及视界截面拓扑为S^1\times S^2的条件下，同一理论中的一个黑环——如果存在的话——除了电荷和磁通量之外，还由其偶极子电荷和杆结构唯一确定。