双极端质量比旋进引力波的自透镜效应：扩展焦散与成对闪光
Self-lensing of gravitational waves from binary extreme-mass-ratio inspirals: Extended caustics and paired flashes
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中文总结 AI 辅助
本文研究双极端质量比旋进中致密源绕Kerr黑洞运动产生的引力波自透镜效应，发现轨道穿越扩展焦散时产生成对放大闪光，可用于约束源-观测者几何并探测中心黑洞时空。
中文摘要 AI 辅助
我们研究了围绕Kerr黑洞运行的致密源所发射引力波的强引力透镜效应，其动机源于双极端质量比旋进中的自透镜现象。在几何光学极限下，我们通过零测地线积分构建了点对点的透镜映射，并利用Jacobi映射计算单个像的应变放大倍数。虽然透镜化信号通常会被减弱，但我们表明，在Kerr透镜映射的扩展焦散附近，信号可以被强烈放大。对于合适的源-观测者几何构型，轨道每转一圈会两次穿越焦散，产生两个放大峰值。它们的到达时间间隔取决于黑洞自旋、观测者倾角和轨道半径，这既受源运动影响，也受传播延迟影响。这些特征可能为约束源-观测者几何构型以及探测中心黑洞的时空结构提供一种手段。
英文摘要
We investigate strong gravitational lensing of gravitational waves from a compact source orbiting a Kerr black hole, motivated by self-lensing in binary extreme-mass-ratio inspirals. In the geometric-optics limit, we construct a point-to-point lens map from null-geodesic integrals and use the Jacobi map to compute the strain magnification of individual images. While lensed signals are generally demagnified, we show that they can be strongly amplified near the extended caustics of the Kerr lens map. For suitable source--observer geometries, the orbit crosses a caustic twice per revolution, producing two amplification peaks. Their arrival-time separation depends on the black-hole spin, observer inclination, and orbital radius through both the source motion and propagation delays. These signatures might offer a means of constraining the source--observer geometry and probing the spacetime of the central black hole.
发表机构
- Peking University（北京大学）
- Beijing Normal University（北京师范大学）
- Tsung-Dao Lee Institute, Shanghai Jiao-Tong University（上海交大李政道研究所）
- School of Physical Science and Technology, Ningbo University（宁波大学物理科学与技术学院）
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