能量有限的$4d$ $N = 1$超引力中静态双子黑洞的存在性
Existence of Static Dyonic Black Holes in $4d$ $N = 1$ Supergravity With Finite Energy
摘要：
我们证明了四维$N=1$超引力理论耦合矢量和标量多重态中静态双子黑洞的存在性和唯一性。我们将近视界几何设为两个爱因斯坦曲面的乘积，而渐近几何必须是一个常数量曲率的空间。利用这些数据，我们表明，存在一个唯一的解决方案，标量场，这些区域内插。
英文摘要：
We prove the existence and the uniqueness of the static dyonic black holes in four dimensional $N=1$ supergravity theory coupled vector and scalar multiplets. We set the near-horizon geometry to be a product of two Einstein surfaces, whereas the asymptotic geometry has to be a space of constant scalar curvature. Using these data, we show that there exist a unique solution for scalar fields which interpolates these regions.
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