论文标题
爱因斯坦 - 高斯黑洞的热力学特性，热图像和相变，与非线性电动力学结合
Thermodynamic properties, thermal image and phase transition of Einstein-Gauss-Bonnet black hole coupled with nonlinear electrodynamics
论文作者
论文摘要
我们在爱因斯坦 - 高斯 - 邦网（EGB）重力以及非线性电动力学的Einstein-Gauss-Bonnet（EGB）重力中获得了$ AD $ Black Hole溶液的精确溶液。它与$ ADS $常规黑洞和$ ADS $ EGB黑洞插值，分别分别没有高斯 - 桥网耦合常数和磁性单极电荷和偏差参数。基于水平热力学，我们研究了所获得溶液的热力学特性（例如质量，温度，熵，热量和自由能）。非单位黑洞的鹰温度在特定热量分歧和二阶相变发生在同一点处的最大值。我们发现，由于热容量正常和负自由能，较小的非发挥黑洞是稳定的。我们明确地追踪了黑洞阴影与带电EGB $ ADS $常规黑洞的临界行为之间的关系。
We obtain an exact solution of $AdS$ black hole solution in Einstein-Gauss-Bonnet (EGB) gravity coupled with nonlinear electrodynamics. It interpolates with the $AdS$ regular black hole and $AdS$ EGB black hole in the absence of the Gauss-Bonnet coupling constant and both magnetic monopole charge and deviation parameter, respectively. Based on horizon thermodynamics, we study the thermodynamic properties of the obtained solution (e.g. mass, temperature, entropy, heat capacity and free energy). The Hawking temperature of the nonsingular black hole gets the maximum value at the point where specific heat diverges and the second-order phase transition occurs at the same point. We find that the smaller nonsingular black holes are stable due to positive heat capacity and negative free energy. We explicitly trace the relations between the black hole shadow and the critical behavior of charged EGB $AdS$ regular black hole in the extended phase space.
