标题： 高斯-邦尼-杨-米尔斯引力的拓扑黑洞 显示英文标题

标题： Topological Black Holes of Gauss-Bonnet-Yang-Mills Gravity

摘要： 我们提出了在存在非阿贝尔杨-米尔斯场的情况下，具有双曲视界的新疆-博内引力的渐近AdS解，该杨-米尔斯场的规范半单群为$So(n(n-1)/2-1,1)$。 我们研究了这些解的性质，并发现6维及更高维的非负质量解在所有地方都是实数且具有类空奇点。 它们是具有一个视界的黑洞，其因果结构与施瓦茨希尔德时空相同。 5维的解或高维负质量的解并非在所有地方都是实数。 在这些情况下，需要进行变换以使解变为实数。 这些解可能呈现裸奇点、极端黑洞、两个视界的黑洞或一个视界的黑洞。 显示英文摘要

摘要： We present the asymptotically AdS solutions of Gauss-Bonnet gravity with hyperbolic horizon in the presence of a non-Abelian Yang-Mills field with the gauge semisimple group $So(n(n-1)/2-1,1)$. We investigate the properties of these solutions and find that the non-negative mass solutions in 6 and higher dimensions are real everywhere with spacelike singularities. They present black holes with one horizon and have the same causal structure as the Schwarzschild spacetime. The solutions in 5 dimensions or the solutions in higher dimensions with negative mass are not real everywhere. In these cases, one needs a transformation to make the solutions real. These solutions may present a naked singularity, an extreme black hole, a black hole with two horizons, or a black hole with one horizon.