AI 中文总结
研究克尔时空中引力透镜效应，通过采用变形色散关系解析推导偏转角和时间延迟，建立框架量化与标准光子传播的偏差，表明相关可观测量可用于探测强场环境中引力的紫外修正。
AI 中文摘要
我们研究了克尔时空中的引力透镜效应，该效应存在由高曲率有效场论修正引起的修正光子传播定律。采用变形色散关系，我们解析推导了旋转背景下零测地线的偏转角和传播时间延迟。我们表明，修正传播导致与标准克尔预测有明显且可计算的偏差，影响偏转角和时间延迟。这些修正对黑洞自旋有非平凡依赖性，预计在强场区域更显著。特别是在光子区域附近，自旋相关几何影响光子轨迹，此类效应可能塑造可观测传播特征。我们的结果建立了一个具体且系统的框架来量化引力透镜中与标准光子传播的偏差。还表明诸如相对论图像间距和时间延迟等可观测量为探测强场环境中引力的紫外修正提供了潜在途径。
英文摘要
We investigate gravitational lensing in Kerr spacetime in the presence of a modified photon propagation law arising from higher-curvature effective field theory corrections. Adopting a deformed dispersion relation, we analytically derive the deflection angle and the propagation time delay for null trajectories in a rotating background. We show that the modified propagation leads to explicit and calculable deviations from the standard Kerr predictions, affecting both the bending angle and the time delay. These corrections exhibit a nontrivial dependence on the black hole spin and are expected to become more relevant in the strong-field regime. In particular, near the photon region-where the spin-dependent geometry influences photon trajectories-such effects may play a role in shaping observable propagation features. Our results establish a concrete and systematic framework to quantify deviations from standard photon propagation in gravitational lensing. They further indicate that observables such as relativistic image separations and time delays provide a potential avenue to probe ultraviolet corrections to gravity in strong-field environments.
Comments25 pages
