论文标题
kaluza-klein物质的黑色镜头
Black Lenses in Kaluza-Klein Matter
论文作者
论文摘要
我们介绍了与通用镜头空间拓扑$ L（P，Q）$的正式渐近平坦黑洞解决方案的第一个例子。这些5维的静态/固定空间是在活动范围内的常规和外部，对于任何相对主要的整数选择$ 1 \ leq Q <p $，特别是圆锥形的奇点。它们得到了kaluza-klein物质领域的支持，该字段是由较高的尺寸真空溶液引起的，这是通过减少托里的。该技术足够强大，可以在任何维度上显式构建常规溶液的明确构建，从而实现了地平线的各种可能的拓扑以及外部通信的范围，并且具有多轴对称性的允许。最后，作为乘产品，我们获得了更高维度的常规重力激体孔的新示例。
We present the first examples of formally asymptotically flat black hole solutions with horizons of general lens space topology $L(p,q)$. These 5-dimensional static/stationary spacetimes are regular on and outside the event horizon for any choice of relatively prime integers $1\leq q<p$, in particular conical singularities are absent. They are supported by Kaluza-Klein matter fields arising from higher dimensional vacuum solutions through reduction on tori. The technique is sufficiently robust that it leads to the explicit construction of regular solutions, in any dimension, realising the full range of possible topologies for the horizon as well as the domain of outer communication, that are allowable with multi-axisymmetry. Lastly, as a by product, we obtain new examples of regular gravitational instantons in higher dimensions.
