通过EFT修正光子传播的引力透镜效应区分Dymnikova与Schwarzschild黑洞
Distinguishing Dymnikova and Schwarzschild Black Holes through Gravitational Lensing with EFT-Corrected Photon Propagation
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中文总结 AI 辅助
本研究通过强引力透镜效应，结合EFT修正的光子传播，探究区分Dymnikova正则黑洞与Schwarzschild黑洞的可能性，发现近临界区域EFT修正可留下特征观测印记。
中文摘要 AI 辅助
我们研究了考虑有效场论（EFT）对光子传播的修正后，Dymnikova正则黑洞能否通过强引力透镜效应与Schwarzschild黑洞在观测上区分开来。我们推导了电磁场与时空曲率之间非最小耦合所导致的修正光子传播定律，并分析了由此产生的光子轨迹在Dymnikova时空中的行为。在强偏折极限下，我们推导了光子球和强偏折系数的EFT修正，这些系数表征了偏折角的对数发散行为。尽管EFT修正在参数上很小，但在强偏折区域其效应可能变得重要，因为该区域中偏折角对临界轨道附近的光子传播高度敏感。我们针对Dymnikova参数$\ell$的代表性值评估了强偏折观测量，并将其与相应的Schwarzschild结果进行比较。我们发现，光子传播的EFT修正会在强透镜观测量上留下特征印记。此外，随着Dymnikova参数$\ell$接近其临界值，EFT修正的贡献变得更加显著，这表明近临界区域提供了一个特别敏感的环境，其中依赖于曲率的光子传播修正可能影响引力透镜效应。这些结果表明，强引力透镜效应结合EFT引起的光子传播修正，可能为区分Dymnikova正则黑洞与Schwarzschild黑洞提供一种手段。
英文摘要
We investigate whether a Dymnikova regular black hole can be observationally distinguished from a Schwarzschild black hole through strong gravitational lensing, taking into account effective field theory (EFT) corrections to photon propagation. 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 Dymnikova spacetime. Within the strong deflection limit, we derive the EFT corrections to the photon sphere and the strong-deflection coefficients characterizing the logarithmically divergent behavior of the deflection angle. Although the EFT corrections are parametrically small, their effects can become relevant in the strong-deflection regime, where the deflection angle is highly sensitive to photon propagation near the critical orbit. We evaluate the strong-deflection observables for representative values of the Dymnikova parameter $\ell$ and compare them with the corresponding Schwarzschild results. We find that EFT corrections to photon propagation leave characteristic imprints on the strong-lensing observables. Furthermore, the contribution of the EFT corrections becomes more pronounced as the Dymnikova parameter $\ell$ approaches its critical value, indicating that the near-critical regime provides a particularly sensitive setting in which curvature-dependent corrections to photon propagation may affect gravitational lensing. These results suggest that strong gravitational lensing, together with EFT-induced modifications of photon propagation, may provide a means of distinguishing Dymnikova regular black holes from Schwarzschild black holes.
发表机构
- National Institute of Technology (KOSEN), Kochi College（国立高知高等专门学校）
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