论文标题
在标量引起的重力波的波形上
On the waveform of the scalar induced gravitational waves
论文作者
论文摘要
标量诱导的重力波（SIGWS）是探测早期宇宙物理学的有用工具。为了使用此工具研究通货膨胀模型，我们需要知道SIGWS的波形与标量功率谱的形状有关。我们提出了两个参数化，以在小尺度上使用尖峰或宽峰值近似标量功率谱，然后使用这两个参数化来研究$ω__{GW} $的形状与标量功率谱的形状之间的关系。我们发现SIGW的波形具有与功率谱相似的形状。远离尖峰的峰值，频率关系$ω__{gw}（k）\ sim \ Mathcal {p}_ζ^2（k）$保持独立于标量功率谱的功能形式。我们还为这种一般关系提供了物理解释。一般关系对于确定标量功率谱和使用SIGW的波形来确定标量功率谱和探测通货膨胀物理。
The scalar induced gravitational waves (SIGWs) is a useful tool to probe the physics in the early universe. To study inflationary models with this tool, we need to know how the waveform of SIGWs is related to the shape of the scalar power spectrum. We propose two parameterizations to approximate the scalar power spectrum with either a sharp or a broad spike at small scales, and then use these two parameterizations to study the relation between the shapes of $Ω_{GW}$ and the scalar power spectrum. We find that the waveform of SIGWs has a similar shape to the power spectrum. Away from the peak of the spike, the frequency relation $Ω_{GW}(k)\sim \mathcal{P}_ζ^2(k)$ holds independent of the functional form of the scalar power spectrum. We also give a physical explanation for this general relationship. The general relation is useful for determining the scalar power spectrum and probing inflationary physics with the waveform of SIGWs.
