Global structure of five-dimensional fuzzballs
Global structure of five-dimensional fuzzballs
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五维毛球的全局结构
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
N. Warner
中科院分区：
文献类型：
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作者：
G. Gibbons;N. Warner;N. Warner;N. Warner
我们描述并研究了BPS微态几何族，即超重力的光滑、无水平渐近平坦解。我们从早期在重力中寻找孤子解的尝试的角度来研究这些解，并展示微态几何如何绕过早期的“不去”定理。特别地，我们重新分析了Smarr公式，并展示了如何在非平凡的第二同调存在下修改它。这与超重力chen - simons项相结合，允许存在丰富的BPS类，全局双曲，渐近平坦，微态几何，其空间拓扑是S2 × S2的N个拷贝的连通和，去掉了“无穷远处的点”。这些解也表现出“消失的ergo区域”，也就是说，由超对称保证的非类空杀伤向量在任何地方都是类时的，除了在类时超曲面（ergo曲面）上杀伤向量变为零。作为我们工作的副产品，我们能够解决为什么一些规则孤子解违反BPS界的难题：它们的时空不允许自旋结构。
We describe and study families of BPS microstate geometries, namely, smooth, horizonless asymptotically flat solutions to supergravity. We examine these solutions from the perspective of earlier attempts to find solitonic solutions in gravity and show how the microstate geometries circumvent the earlier ‘no-go’ theorems. In particular, we re-analyze the Smarr formula and show how it must be modified in the presence of non-trivial second homology. This, combined with the supergravity Chern–Simons terms, allows the existence of rich classes of BPS, globally hyperbolic, asymptotically flat, microstate geometries whose spatial topology is the connected sum of N copies of S2 × S2 with a ‘point at infinity’ removed. These solutions also exhibit ‘evanescent ergo-regions,’ that is, the non-space-like Killing vector guaranteed by supersymmetry is time-like everywhere except on time-like hypersurfaces (ergo-surfaces) where the Killing vector becomes null. As a by-product of our work, we are able to resolve the puzzle of why some regular soliton solutions violate the BPS bound: their spacetimes do not admit a spin structure.