arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.10485astro-ph.HEgr-qchep-th
收藏

用数值模拟揭示引力波的波动性质

Unveiling the wave nature of gravitational-waves with simulations

Jian-hua He

摘要:

我们提出了第一个数值模拟的引力波(GWs)通过一个由一个紧凑的物体在3-D空间中产生的势阱,与一个现实的源波形来自两个黑洞合并的数值相对论。与以往的工作不同,我们的分析集中在时域,其中的GWs的传播是一个良好的双曲方程的“初值”问题,具有严格的数学和物理根源。基于这些模拟,我们调查的第一次在现实的3-D空间中的GWs的波的性质如何影响的速度和波形的GWs在一个潜在的井。我们发现,由于衍射和波前几何形状的影响,GWs的传播速度比几何极限下的Shapiro时延的预测要快。由于GWs的波速与GWs的局部性和波前几何形状密切相关,这在频域中固有地难以解决,因此,我们在时域中的分析提供了迄今为止基于固体物理的关于这个问题的第一个鲁棒分析。此外,我们还调查,为第一次,入射波和散射波(入射波的“回波”)之间的干扰。我们发现,这种干涉使总的透镜波形显着不同的原始入射的不仅在振幅,而且在相位和模式,特别是对于两个后孔的合并附近的信号。

英文摘要:

We present the first numerical simulations of gravitational waves (GWs) passing through a potential well generated by a compact object in 3-D space, with a realistic source waveform derived from numerical relativity for the merger of two black holes. Unlike the previous work, our analyses focus on the time-domain, in which the propagation of GWs is a well-posed "initial-value" problem for the hyperbolic equations with rigorous rooting in mathematics and physics. Based on these simulations, we investigate for the first time in realistic 3-D space how the wave nature of GWs affects the speed and waveform of GWs in a potential well. We find that GWs travel faster than the prediction of the Shapiro time-delay in the geometric limit due to the effects of diffraction and wavefront geometry. As the wave speed of GWs is closely related to the locality and wavefront geometry of GWs, which are inherently difficult to be addressed in the frequency-domain, our analyses in the time-domain, therefore, provide the first robust analyses to date on this issue based on solid physics. Moreover, we also investigate, for the first time, the interference between the incident and the scattered waves (the "echoes" of the incident waves). We find that such interference makes the total lensed waveforms dramatically different from those of the original incident ones not only in the amplitude but also in the phase and pattern, especially for signals near the merger of the two back holes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑