arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2003.13104gr-qc
收藏

正则化$4D$ Einstein-Gauss-Bonnet引力中的Barclay黑洞

Bardeen Black Holes in the Regularized $4D$ Einstein--Gauss--Bonnet Gravity

Arun Kumar, Rahul Kumar Walia, Sushant G. Ghosh

摘要:

我们得到了正则化的$4D$ Einstein-Gauss-Bonnet(EGB)引力与非线性电动力学(NED)最小耦合下的精确的Barnut黑洞.反过来,我们分析的视界结构,以确定GB参数$α$上的质量,$M_0$,和磁负电荷,$g_0$的最小截止值的黑洞视界的存在的效果。我们得到了黑洞视界的霍金温度$T_+$、熵$S_+$、亥姆霍兹自由能$F_+$和比热$C_+$的精确表达式,并且由于NED的存在,它们与$4D$ EGB的情况有很大的偏差.有趣的是,存在一个视界半径的临界值,$r_+^{c}$,对应于霍金温度的局部最大值,在此热容发散,确认二级相变。补充了属于标量-张量理论的交替正则化$4D$ EGB引力黑洞的讨论。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑