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arXiv 2106.08558hep-thgr-qc
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准拓扑引力中的Yang-Mills黑洞

Yang-Mills black holes in Quasitopological gravity

Fatemeh Naeimipour, Behrouz Mirza, Fatemeh Masoumi Jahromi

备注：
18 pages, 10 figures
发表信息：
Eur. Phys. J. C (2021) 81:455
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摘要：

本文利用非交换的Yang-Mills理论，在高曲率四次拟拓扑引力场中给出了两类新的黑洞解。第一步，我们考虑$SO(n)$和$SO(n-1,1)$半单规范群。我们得到了四次准拓扑Yang-Mills黑洞的解析解。只有当重新定义的四次拟拓扑引力系数$μ_{4}$为正值时，才能得到实解。这些解决方案有一个有限的价值观和一个本质的奇点在原点，$r=0$的空间维度高于$8$。我们还探讨了准拓扑Yang-Mills黑洞的热力学和临界行为。所得到的解可能只在正则系综中是热稳定的。它们也可能表现出从小黑洞到大黑洞的一阶相变。第二步，我们得到了纯准拓扑Yang-Mills黑洞解。对于正的宇宙学常数和大于8的空间维数，纯准拓扑Yang-Mills解有能力产生渐近AdS和dS黑洞，分别为负和正的常数曲率，$k=-1$和$k=+1$ .这与准拓扑的杨-米尔斯理论不同，后者只能得到$Λ>0$的渐近dS解。纯准拓扑杨-米尔斯黑洞不是热稳定的。

英文摘要：

In this paper, we formulate two new classes of black hole solutions in higher curvature quartic quasitopological gravity with nonabelian Yang-Mills theory. At first step, we consider the $SO(n)$ and $SO(n-1,1)$ semisimple gauge groups. We obtain the analytic quartic quasitopological Yang-Mills black hole solutions. Real solutions are only accessible for the positive value of the redefined quartic quasitopological gravity coefficient, $μ_{4}$. These solutions have a finite value and an essential singularity at the origin, $r=0$ for space dimension higher than $8$. We also probe the thermodynamic and critical behavior of the quasitopological Yang-Mills black hole. The obtained solutions may be thermally stable only in the canonical ensemble. They may also show a first order phase transition from a small to a large black hole. In the second step, we obtain the pure quasitopological Yang-Mills black hole solutions. For the positive cosmological constant and the space dimensions greater than eight, the pure quasitopological Yang-Mills solutions have the ability to produce both the asymptotically AdS and dS black holes for respectively the negative and positive constant curvatures, $k=-1$ and $k=+1$. This is unlike the quasitopological Yang-Mills theory which can lead to just the asymptotically dS solutions for $Λ>0$. The pure quasitopological Yang-Mills black hole is not thermally stable.

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