有效场论修正光子传播下的Hayward黑洞引力透镜效应

中文摘要 AI 辅助

我们研究当考虑光子传播的有效场论（EFT）修正时，是否能通过强引力透镜在观测上将Hayward正则黑洞与史瓦西黑洞区分开来。我们推导了由电磁场与时空曲率之间的非最小耦合诱导的修正光子传播定律，并分析了Hayward时空中的光子轨迹。利用强偏转极限，我们推导了光子球的修正项以及偏转角的对数发散部分。尽管EFT修正的参数很小，但它们的效应可在临界传播区域附近被放大，该区域的偏转角呈现对数发散。我们针对Hayward参数的代表性取值计算了强偏转可观测量，并将其与史瓦西情况进行比较。我们发现，光子传播的EFT修正可在强透镜可观测量上留下特征印记。此外，当Hayward参数$g^3$趋近于其临界值时，EFT修正的贡献变得更为显著，这表明依赖于曲率的光子传播修正在近临界区域可能尤为重要。这些结果表明，强引力透镜可能提供一种区分Hayward正则黑洞与史瓦西黑洞的方法。

英文摘要

We investigate whether a Hayward regular black hole can be observationally distinguished from a Schwarzschild black hole through strong gravitational lensing when effective field theory (EFT) corrections to photon propagation are taken into account. We derive the modified photon propagation law induced by non-minimal couplings between the electromagnetic field and spacetime curvature, and analyze the resulting photon trajectories in the Hayward spacetime. Using the strong deflection limit, we derive the corrections to the photon sphere and the logarithmically divergent part of the deflection angle. Although the EFT corrections are parametrically small, their effects can be enhanced near the critical propagation region, where the deflection angle exhibits a logarithmic divergence. We evaluate the strong-deflection observables for representative values of the Hayward parameter and compare them with the Schwarzschild case. We find that EFT corrections to photon propagation can leave characteristic imprints on strong-lensing observables. Furthermore, the contribution of the EFT corrections becomes more pronounced as the Hayward parameter $g^3$ approaches its critical value, indicating that curvature-dependent corrections to photon propagation can become particularly relevant in the near-critical regime. These results suggest that strong gravitational lensing may provide a means of distinguishing Hayward regular black holes from Schwarzschild black holes.

发表机构

• National Institute of Technology (KOSEN), Kochi College（国立高等专门学校kochi学院）

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25 pages, 6 figures