论文标题
标量诱导的张量扰动的量规转换在物质统治过程中
Gauge transformation of scalar induced tensor perturbation during matter domination
论文作者
论文摘要
我们在七个不同的仪表中研究标量诱导的张量扰动。考虑到从牛顿仪表中获得的溶液，我们使用标量诱导的张量扰动的仪表转换定律，以其他六个测量值推导溶液。在识别和消除同步和共同正交仪表中的残留量规模式之后，我们获得了这两个测量值的内核函数$i_χ$的分析结果，与从仪表变换获得的测量值相比。对于标量引发的引力波振荡为$ \ sin x $和$ \ cos x $，我们发现$ρ_{\ text {gw}}} \ propto a^{ - 4} $和$ω_ {\ text {\ text {gw}}} \ propto的狂热是在重要的范围内。
We study the scalar induced tensor perturbations at second order during matter domination in seven different gauges. Considering the obtained solution from the Newtonian gauge, we use the gauge transformation law of the scalar induced tensor perturbation to derive the solution in six other gauges. After identifying and eliminating the residual gauge modes in the synchronous and comoving orthogonal gauges, we obtain the same analytical results of the kernel function $I_χ$ for these two gauges as those obtained from the gauge transformation. For the scalar induced gravitational waves oscillating as $\sin x$ and $\cos x$, we find that $ρ_{\text{GW}}\propto a^{-4}$, and $Ω_{\text{GW}}\propto 1/a$ in the matter dominated era, so the oscillating gravitational waves behave as radiation.
