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arXiv 0907.1804hep-thgr-qc
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五维最小规范超引力中旋转带电黑洞的唯一性

Uniqueness of Rotating Charged Black Holes in Five-Dimensional Minimal Gauged Supergravity

Haji Ahmedov, Alikram N. Aliev

摘要:

我们研究了一个五维时空,在挠的存在下,一个非退化的共形Killing-Yano 2-形式,它是封闭的关于通常的外微分和外微分与挠。进一步,假设挠率是闭的,且关于挠率的外微分是余闭的,我们证明了在五维最小规范超引力中,对于具有两个独立角动量的静止旋转带电黑洞,这样的时空是由Chong-Cvetic-Lu-Pope解给出的唯一时空.

英文摘要:

We study a five-dimensional spacetime admitting, in the presence of torsion, a non-degenerate conformal Killing-Yano 2-form which is closed with respect to both the usual exterior differentiation and the exterior differentiation with torsion. Furthermore, assuming that the torsion is closed and co-closed with respect to the exterior differentiation with torsion, we prove that such a spacetime is the only spacetime given by the Chong-Cvetic-Lu-Pope solution for stationary, rotating charged black holes with two independent angular momenta in five-dimensional minimal gauged supergravity.

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