论文标题
在关键点，新的各向异性高斯黑洞在五个维度上
New Anisotropic Gauss-Bonnet Black Holes in Five Dimensions at the Critical Point
论文作者
论文摘要
我们在爱因斯坦高斯 - 邦网重力中获得了新的真空静态黑洞溶液，并具有各向异性的地平线，在五个维度中具有负宇宙常数。沿3维地平线横截面上一个方向的翻译不变性被损坏。高斯 - 桥网耦合α是在一个单个广告真空的临界点。这些溶液并未以扭曲的产物的形式出现，即它们缺乏共同的翘曲因子，该度量包含2个任意函数，即地平线坐标的径向坐标R和H（y）的H（r）h（r） - 公制中的某些退化。非平凡的视野和退化性可能与α的临界值密切相关。我们介绍了获取解决方案及其某些属性的过程，并且在其余两个方向存在共同的扭曲因子时，也证明了唯一性定理。
We obtain new vacuum static black hole solutions with anisotropic horizons in Einstein-Gauss-Bonnet gravity with a negative cosmological constant in five dimensions. The translational invariance along one direction on the 3-dimensional horizon cross section is broken. The Gauss-Bonnet coupling α is at the critical point where there is one single AdS vacuum. These solutions does not appear in the form of a warped product, i.e. they lack a common warping factor, and the metric contains 2 arbitrary functions, h(r) of the radial coordinate r and H(y) of the horizon coordinate y -- some degeneracy in the metric. The nontrivial horizon and the degeneracy may be closely related to the critical value of α. We introduce the process of obtaining the solutions and some of their properties, and also prove a uniqueness theorem for the case when there is a common warping factor for the rest two directions.
