On uniqueness of static Einstein-Maxwell dilaton black holes
On uniqueness of static Einstein-Maxwell dilaton black holes
复制标题
论静态爱因斯坦-麦克斯韦膨胀黑洞的唯一性
DOI：
10.4310/atmp.2002.v6.n2.a3
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发表时间：
2001
影响因子：
1.5
通讯作者：
W. Simon
中科院分区：
文献类型：
--
作者：
M. Mars;W. Simon
对于爱因斯坦-麦克斯韦膨胀理论的三种特殊情况，我们证明了具有非简并黑洞的静态渐近平坦时空的唯一性：一方面是耦合“�=1”(弦理论的能量下限)，另一方面是磁场或电场的消失(但任意耦合)。我们的工作以一种自然但非平凡的方式推广了马苏德-乌尔-阿拉姆获得的唯一性结果，他要求�=1，不存在磁场，以及质量和电荷之间的关系。此外，我们简化了Masood-ul-Alam的证明，因为我们不需要对Witten的正质量定理进行任何非平凡的推广。我们还得到了关于一般调和映射唯一性问题的部分结果。
We prove uniqueness of static, asymptotically flat spacetimes with nondegenerate black holes for three special cases of Einstein-Maxwell-dilaton theory: For the coupling “� = 1” (which is the low energy limit of string theory) on the one hand, and for vanishing magnetic or vanishing electric field (but arbitrary coupling) on the other hand. Our work generalizes in a natural, but non-trivial way the uniqueness result obtained by Masood-ul-Alam who requires both � = 1 and absence of magnetic fields, as well as relations between the mass and the charges. Moreover, we simplify Masood-ul-Alam’s proof as we do not require any non-trivial extensions of Witten’s positive mass theorem. We also obtain partial results on the uniqueness problem for general harmonic maps.