论文标题
引力孤子和完整的Ricci扁平利马尼亚式无限拓扑类型
Gravitational Solitons and Complete Ricci Flat Riemannian Manifolds of Infinite Topological Type
论文作者
论文摘要
我们在更高维度的静态真空中的几种新的空间周期性溶液中，无论有或没有黑洞，具有Kasner渐近性。这些后一种溶液称为重力孤子。还可以通过服用适当的商来获得进一步的部分压缩的解决方案，并且拓扑是根据相关的球体产品总和明确计算的。此外，还表明，通过灯芯旋转，孤子的间隔类切片和黑洞溶液之间的对应关系较小。作为推论，孤子会产生完整的无限拓扑类型和通用综合体的RICCI平坦的riemannian歧管，在尺寸4及更高的维度。
We present several new space-periodic solutions of the static vacuum Einstein equations in higher dimensions, both with and without black holes, having Kasner asymptotics. These latter solutions are referred to as gravitational solitons. Further partially compactified solutions are also obtained by taking appropriate quotients, and the topologies are computed explicitly in terms of connected sums of products of spheres. In addition, it is shown that there is a correspondence, via Wick rotation, between the spacelike slices of the solitons and black hole solutions in one dimension less. As a corollary, the solitons give rise to complete Ricci flat Riemannian manifolds of infinite topological type and generic holonomy, in dimensions 4 and higher.
