罗宾逊-贝尔托蒂度规

本书暂定概念：尚未进入正式概念库。下面是本书给出的定义原文。

定义 · 6.2 带电黑洞

前两项是二维反德西特时空 (4.28) 的庞加莱补丁的度规。最后一项则是一个半径恒定的二维球面。由此我们看到，极端赖斯纳-努德斯特伦黑洞的近视界极限是 ${\mathrm{AdS}}_2\times {\mathbf{S}}^2$；这有时被称为罗宾逊-贝尔托蒂度规(Robinson-Bertotti metric)。与此类似的计算在从弦论中膜的动力学出发、为AdS/CFT 对应提供动机方面起着重要作用。

英文原文

The first two terms are the metric for the Poincar´e patch of two-dimensional anti-de Sitter spacetime (4.28). The final term is just a two-sphere of constant radius. In this way, we see that the near horizon limit of the extremal Reissner-Nordstr¨om black hole is ${\mathrm{AdS}}_2\times {\mathbf{S}}^2$ ; this is sometimes called the Robinson-Bertotti metric. Similar calculations to this play an important role in motivating the AdS/CFT correspondence from the dynamics of branes in string theory.

出处：6.2 带电黑洞 · node a-1f89cc2d6629eba4d4988242 · 源节点 SHA-256 4d53cc45c9a71dc2…