论文标题
带标量头发的三维黑洞与麦克斯韦般的电动力学耦合
Three-dimensional black holes with scalar hair coupled to a Maxwell-like electrodynamics
论文作者
论文摘要
通过考虑Einstein-Dilaton非线性带电引力系统，已经表明该理论面临着不确定性的问题。这意味着独立微分方程的数量比未知数少一个。为了克服这个问题，已分别使用了幂律和指数ANSATZ功能。通过求解场方程，在存在类似库仑的电场的情况下，已经发现该理论包括每个ANSATZ的两种具有异常渐近行为的新型带电黑洞（BHS）。已经发现，在某些情况下，两个ANSATZ功能都会带来相同的结果。新颖的精确解决方案显示了BHS，有一个地平线，两个地平线，没有地平线。在计算了热力学和保守量后，已经证明了使用BH热力学第一定律（FLT）的Smarr型质量公式有效性（FLT）。利用热力学和几何方法，已经分析了BHS的热稳定性。通过使用图，已经比较了上述方法的结果。
By consideration of a Einstein-dilaton non-linear charged gravitating system, it has been shown that this theory is confronted with the problem of indeterminacy. It means that the number of independent differential equations is one less than the number of unknowns. To overcome this problem, the power-law and exponential ansatz functions have been used, separately. Through solving the field equations, in the presence of a Coulomb-like electric field, it has been found that this theory includes two novel classes of charged black holes (BHs) with unusual asymptotic behavior, for each ansatz. It has been found that, under some circumstances, both of the ansatz functions lead to the same results. The novel exact solutions show BHs with one horizon, two horizons and without horizon. Using a Smarr-type mass formula validity of the first law of BH thermodynamics (FLT) has been proved, after calculating the thermodynamic and conserved quantities. Making use of thermodynamical and geometrical approaches, thermal stability of the BHs has been analyzed. Results of the aforementioned methods have been compared by use of the plots.
