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arXiv 0812.3036gr-qc
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稳态Kaluza-Klein黑洞的唯一性定理

A uniqueness theorem for stationary Kaluza-Klein black holes

Stefan Hollands, Stoytcho Yazadjiev

摘要:

本文证明了具有$D-2$ Killing场的稳态$D$维Kaluza-Klein黑洞的唯一性定理,生成对称群${\mathbb R} \times U(1)^{D-3}$ .它表明,这种黑洞的拓扑结构和度量是唯一确定的角动量和某些其他不变量组成的一些实模,以及整数向量受到一定的限制。

英文摘要:

We prove a uniqueness theorem for stationary $D$-dimensional Kaluza-Klein black holes with $D-2$ Killing fields, generating the symmetry group ${\mathbb R} \times U(1)^{D-3}$. It is shown that the topology and metric of such black holes is uniquely determined by the angular momenta and certain other invariants consisting of a number of real moduli, as well as integer vectors subject to certain constraints.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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