论文标题
正规化$ 4D $ EINSTEIN中的Bardeen黑洞 - Gauss- Bonnet Gravity
Bardeen Black Holes in the Regularized $4D$ Einstein--Gauss--Bonnet Gravity
论文作者
论文摘要
我们获得了正规化的$ 4D $ EINSTEIN-GAUSS--BONNET（EGB）重力与非线性电动力学（NED）的重力。反过来，我们分析了地平线结构，以确定GB参数$α$对质量，$ m_0 $和磁性单极电荷的最小截止值的影响，即$ g_0 $ $ g_0 $。我们获得了热力学数量的精确表达，即霍金温度$ t _+$，熵$ s _+$，Helmholtz Free Energy $ f _+$以及与Black Hole Horizon相关的特定热量$ c _+$，它们与NED的$ 4D $ EGB案例显示出很大的偏差。有趣的是，存在地平线半径的临界值，$ r _+^{c} $，对应于霍金温度的局部最大值，在该温度的局部最大值，在该温度下，热容量分流，确认了二阶相变。讨论了属于标量调整理论的替代正规化$ 4D $ EGB重力的讨论。
We obtain exact Bardeen black holes to the regularized $4D$ Einstein--Gauss--Bonnet (EGB) gravity minimally coupled with the nonlinear electrodynamics (NED). In turn, we analyze the horizon structure to determine the effect of GB parameter $α$ on the minimum cutoff values of mass, $M_0$, and magnetic monopole charge, $g_0$, for the existence of a black hole horizon. We obtain an exact expression for thermodynamic quantities, namely, Hawking temperature $T_+$, entropy $S_+$, Helmholtz free energy $F_+$, and specific heat $C_+$ associated with the black hole horizon, and they show significant deviations from the $4D$ EGB case owing to NED. Interestingly, there exists a critical value of horizon radius, $r_+^{c}$, corresponding to the local maximum of Hawking temperature, at which heat capacity diverges, confirming the second-order phase transition. A discussion on the black holes of alternate regularized $4D$ EGB gravity belonging to the scalar-tensor theory is appended.
