Asymptotically locally Euclidean/Kaluza-Klein stationary vacuum black holes in five dimensions

作者：Khuri Marcus; Weinstein Gilbert; Yamada Sumio^*

来源：Progress of Theoretical and Experimental Physics, 2018, 2018(5): 053E01.

DOI：10.1093/ptep/pty052

We produce new examples, both explicit and analytical, of bi-axisymmetric stationary vacuum black holes in five dimensions. A novel feature of these solutions is that they are asymptotically locally Euclidean, in which spatial cross-sections at infinity have lens space L(p,q) topology, or asymptotically Kaluza-Klein so that spatial cross-sections at infinity are topologically S-1 x S-2. These are nondegenerate black holes of cohomogeneity 2, with any number of horizon components, where the horizon cross-section topology is any one of the three admissible types: S-3, S-1 x S-2, or L(p, q). Uniqueness of these solutions is also established. Our method is to solve the relevant harmonic map problem with prescribed singularities, having target symmetric space SL(3, R)/SO(3). In addition, we analyze the possibility of conical singularities and find a large family for which geometric regularity is guaranteed.

• 出版日期2018-5