论文标题
$ 4D $ ADS EINSTEIN-GAUSS-BONNET黑洞，带有Yang-Mills Field及其热力学
$4D$ AdS Einstein-Gauss-Bonnet black hole with Yang-Mills field and its thermodynamics
论文作者
论文摘要
我们为Einstein-Gauss-bonnet重力提供了一个精确的黑洞溶液，其Yang-Mills Field的$ 4D $ ADS时空，并研究其热力学特性，以计算黑洞质量，温度，熵和热容量的精确表达式。在阳米尔斯场的存在下，热力学量会进行修改，但是，熵仍然不受杨米尔电荷的影响。该解决方案表现出$ p-V $的关键性，属于范德华流体的通用类别。我们研究高斯 - 骨网耦合和阳米尔电荷对临界行为和黑洞相变的影响。我们观察到，临界指数的值随着杨米尔电荷而增加，并且随着高斯 - 骨网耦合常数的减少。
We derive an exact black hole solution for the Einstein-Gauss-Bonnet gravity with Yang-Mills field in $4D$ AdS spacetime and investigate its thermodynamic properties to calculate exact expressions for the black hole mass, temperature, entropy and heat capacity. The thermodynamic quantities get modification in the presence of Yang-Mills field, however, entropy remains unaffected by the Yang-Mills charge. The solution exhibits $P-v$ criticality and belongs to the universality class of Van der Waals fluid. We study the effect of Gauss-Bonnet coupling and Yang-Mills charge on the critical behaviour and black hole phase transition. We observe that the values of critical exponents increase with the Yang-Mills charge and decrease with the Gauss-Bonnet coupling constant.
