论文标题
用零或sl旋转黑洞（2，$ \，\ mathbb {r} $）
Rotating black holes with Nil or SL(2,$\,\mathbb{R}$) horizons
论文作者
论文摘要
我们以$ n = 2 $，$ d = 5 $最小且物质耦合的测量超重力构建旋转的黑洞，其视野是同质但不是各向同性的。这样的空间属于八个瑟斯顿模型几何形状，其中我们考虑了零和sl $（2，\ mathbb {r}）$的情况。在前者中，我们使用Arxiv：Hep-Th/0304064的配方直接重新恢复了Gutowski和Arxiv中Reall获得的溶液：Hep-Th/0401042作为从球形黑洞中的缩放限制。使用相同的技术，构建了一个带有SL $（2，\ Mathbb {r}）$ Horizon的黑洞的第一个示例，即旋转和四分之一bps。讨论了该溶液的物理特性，并表明在近途径限制中，它归结为Arxiv的几何形状：HEP-TH/0401042，其超对称性增强为一半。尺寸还原至$ d = 4 $，为带有电荷和磁性电荷的T $^3 $模型提供了一种新的解决方案。此外，我们通过对Kerr-Ads $ _5 $施加一定的缩放限制，并以两个相等的旋转参数施加一定的缩放限制来显示如何获得非Xtremal旋转零黑洞，这包括放大S $^2 $的S $^3 $的北极，同时启动了s $^3 $，同时促进了高度的速度。
We construct rotating black holes in $N=2$, $D=5$ minimal and matter-coupled gauged supergravity, with horizons that are homogeneous but not isotropic. Such spaces belong to the eight Thurston model geometries, out of which we consider the cases Nil and SL$(2,\mathbb{R})$. In the former, we use the recipe of arXiv:hep-th/0304064 to directly rederive the solution that was obtained by Gutowski and Reall in arXiv:hep-th/0401042 as a scaling limit from a spherical black hole. With the same techniques, the first example of a black hole with SL$(2,\mathbb{R})$ horizon is constructed, which is rotating and one quarter BPS. The physical properties of this solution are discussed, and it is shown that in the near-horizon limit it boils down to the geometry of arXiv:hep-th/0401042, with a supersymmetry enhancement to one half. Dimensional reduction to $D=4$ gives a new solution with hyperbolic horizon to the t$^3$ model that carries both electric and magnetic charges. Moreover, we show how to get a nonextremal rotating Nil black hole by applying a certain scaling limit to Kerr-AdS$_5$ with two equal rotation parameters, which consists in zooming onto the north pole of the S$^2$ over which the S$^3$ is fibered, while boosting the horizon velocity effectively to the speed of light.
