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arXiv 0811.1264hep-thgr-qc
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超引力黑洞的对称性

Symmetries of supergravity black holes

David D. K. Chow

摘要:

本文研究了超引力理论中各种黑洞解的Killing张量。构造了具有NUT参数和两个U(1)规范场的无规范理论--环紧化杂化超引力的旋转黑洞.如果两个电荷相等,则解简化,然后有秩为2的共形Killing-Stackel张量的简明表达式。这些都是由秩2 Killing-Stackel张量的共形相关的度量,具有可分性结构。我们直接验证分离的哈密顿-雅可比方程在这个共形相关的度量,和零哈密顿-雅可比和无质量的克莱因-戈登方程的“物理”度量。类似的结果被发现更一般的解决方案,我们主要集中在某些电荷组合相等的规范超引力,但也考虑一些其他的解决方案。

英文摘要:

We investigate Killing tensors for various black hole solutions of supergravity theories. Rotating black holes of an ungauged theory, toroidally compactified heterotic supergravity, with NUT parameters and two U(1) gauge fields are constructed. If both charges are set equal, then the solutions simplify, and then there are concise expressions for rank-2 conformal Killing-Stackel tensors. These are induced by rank-2 Killing-Stackel tensors of a conformally related metric that possesses a separability structure. We directly verify the separation of the Hamilton-Jacobi equation on this conformally related metric, and of the null Hamilton-Jacobi and massless Klein-Gordon equations on the "physical" metric. Similar results are found for more general solutions; we mainly focus on those with certain charge combinations equal in gauged supergravity, but also consider some other solutions.

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