A Uniqueness Theorem for Stationary Kaluza-Klein Black Holes

A Uniqueness Theorem for Stationary Kaluza-Klein Black Holes
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固定Kaluza-Klein黑洞的唯一性定理

DOI:
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发表时间:
2008
期刊:
影响因子:
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通讯作者:
S. Yazadjiev
S. Yazadjiev
中科院分区:
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文献类型:
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作者:
S. Hollands;S. Yazadjiev

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我们证明了具有D − 2个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的不变量组成的一些真实的模,以及整数向量受到一定的约束。
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.