Kerr度规引力透镜中的频移

中文摘要 AI 辅助

在本研究中，我们计算了由Kerr度规描述的旋转透镜横向运动引起的引力透镜效应所产生的相对频移（$\Delta \nu / \nu$）。此前，横向速度对频移的影响已使用Schwarzschild度规进行了研究，而将其扩展到Kerr度规为测量透镜的横向速度或其自旋参数提供了新的途径，该参数在引力微透镜观测中常常存在简并问题。最近的微透镜观测已揭示黑洞是可行的透镜候选体。由于旋转黑洞在恒星演化过程中自然形成，天体物理黑洞透镜最好用Kerr度规来描述。此外，最近对星系中心超大质量黑洞的观测为检验Kerr度规的观测效应提供了理想的实验室，通过测量被透镜化源的频移来实现。

英文摘要

In this study, we calculate the relative frequency shift ($Δν/ ν$) caused by gravitational lensing resulting from the transverse motion of a spinning lens described by the Kerr metric \cite{Kerr:1963ud}. While the effect of transverse velocity on the frequency shift has previously been investigated using the Schwarzschild metric \cite{Rahvar_2020,10.1093/mnras/stae1938}, extending this to the Kerr metric provides a new window for measuring the transverse velocity of a lens or its spin parameter, a parameter often subject to degeneracy in gravitational microlensing observations. Recent microlensing observations have revealed black holes as viable lensing candidates \cite{2022ApJ...933...83S}. Since spinning black holes form naturally from stellar evolution, astrophysical black hole lenses are best described by the Kerr metric. Furthermore, recent observations of supermassive black holes at the centers of galaxies provide an ideal laboratory for testing the observational effects of the Kerr metric by measuring the frequency shifts of lensed sources.

发表机构

• Sharif University of Technology（谢里夫理工大学）
• Research Center for High Energy physics, Sharif university of Technology（谢里夫理工大学高能物理研究中心）

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