论文标题

电气相互作用对强场极限偏转和重力镜头的影响

Effect of electric interaction on the deflection and gravitational lensing in the strong field limit

论文作者

Zhou, Shangjie, Chen, Muchun, Jia, Junji

论文摘要

在这项工作中,使用从中性信号案例中概括的扰动方法分析了在强场限制中,在强场限制中,充电信号的挠度角$ δϕ $分析了。已解决的$ δϕ $自然包含有限距离效应,并采用准势差,并在领先顺序上具有对数差异。该系列的系数既包含重力和电力贡献。以Reissner-nordström时空为例,我们发现电排斥(或吸引力)倾向于减少(或增加)关键影响参数$ b_c $。如果排斥足够强大,则$ b_c $可以缩小到零,而关键粒子球$ r_ {0c} $将消失。这些结果应用于电荷信号的重力镜头,我们从中求解了图像位置,它们的宏伟和时间延迟。已经发现,通常,电排斥(或吸引力)会降低(或增加)图像明显角度,黑洞阴影尺寸以及其宏伟速度,但增加(或减少)时间延迟。

The deflection angle $Δϕ$ of charged signals in general charged spacetime in the strong field limit is analyzed in this work using a perturbative method generalized from the neutral signal case. The solved $Δϕ$ naturally contains the finite distance effect and takes a quasi-power series form with a logarithmic divergence at the leading order. The coefficients of the series contain both the gravitational and electric contributions. Using the Reissner-Nordström spacetime as an example, we found that an electric repulsion (or attraction) tends to decrease (or increase) the critical impact parameter $b_c$. If the repulsion is strong enough, then $b_c$ can shrink to zero and the critical particle sphere $r_{0c}$ will disappear. These results are applied to the gravitational lensing of charge signal, from which we solved the image positions, their magnifications and time delays. It is found that in general, the electric repulsion (or attraction) will decrease (or increase) the image apparent angles, the black hole shadow size as well as their magnifications but increase (or decrease) the time delay.

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