Imprints of a gravitational wave through the weak field deflection of photons

R. C. Pantig, A. Övgün
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Abstract

This paper investigates the novel phenomenon of gravitational lensing experienced by gravitational waves traveling past a Schwarzschild black hole perturbed by a specific, first-order, polar gravitational wave. We utilize the Gauss-Bonnet theorem, uncovering a topological contribution to the deflection of light rays passing near the black hole. We demonstrate that the deflection angle can be determined by analyzing a region entirely outside the light ray's path, leading to a calculation based solely on the parameters of the perturbing wave (Legendre polynomial order, $l$, and frequency, $\sigma$). This approach offers a unique perspective on gravitational lensing and expands our understanding of black hole interactions with gravitational waves.
引力波通过光子的弱场偏转留下的印记
本文研究了经过施瓦兹希尔德黑洞的引力波所经历的新奇的引力透镜现象,该黑洞受到特定的一阶极性引力波的扰动。我们利用高斯-波内定理,揭示了黑洞附近光线偏转的拓扑贡献。我们证明,偏转角度可以通过分析完全在光线路径之外的区域来确定,从而只根据扰动波的参数(勒让多项式阶数 $l$ 和频率 $\sigma$)进行计算。这种方法为引力透镜提供了一个独特的视角,并拓展了我们对黑洞与引力波相互作用的理解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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