Lower bound for angular momenta of microstate geometries in five dimensions
Lower bound for angular momenta of microstate geometries in five dimensions
复制标题
DOI：
10.1103/physrevd.104.084022
复制
发表时间：
2021-06
影响因子：
5
通讯作者：
Shinya Tomizawa
中科院分区：
文献类型：
--
作者：
Shinya Tomizawa
我们研究了五维无规范最小超引力中具有双轴对称和反射对称的渐近平坦、定常微态几何的Bogomol‘nyi-Prasad-Sommerfield(BPS)解。我们证明了具有少量中心(至少5个中心)的微态几何的角动量有一个下界，这个下界比最大自旋的BMPV黑洞的角动量略小。因此，存在一个较窄的参数区域，使得中心数较少的微态几何与BMPV黑洞具有相同的角动量。此外，我们还研究了通过两个中心之间的2圈的磁通量对消逝表面的拓扑结构的依赖关系。
We study the Bogomol’nyi-Prasad-Sommerfield (BPS) solutions of the asymptotically flat, stationary microstate geometries with bi-axisymmetry and reflection symmetry in the fivedimensional ungauged minimal supergravity. We show that the angular momenta of the microstate geometry with a small number of centers (at least, five centers) have lower bounds, which are slightly smaller than those of the maximally spinning BMPV black hole. Therefore, there exists a certain narrow parameter region such that the microstate geometry with a small number of the centers admits the same angular momenta as the BMPV black hole. Moreover, we investigate the dependence of the topological structure of the evanescent ergosurfaces on the magnetic fluxes through the 2-circles between two centers.