论文标题
原始黑洞和三阶标量引诱引力波
Primordial black holes and third order scalar induced gravitational waves
论文作者
论文摘要
\ acp {pbh}的过程将不可避免地伴随\ acp {sigw}。 \ acp {pbH}和\ acp {sigw}信号之间的这种强相关性可能是在即将到来的\ ac {gw}实验中检测\ acp {pbh}的一种有希望的方法，例如\ ac {lisa}。在单色原始功率谱$ \ mathcal {p} _面= a_Trick_ = a_Termpip {a_ζk_*δΔ\ left（k-k _*\ right）$的情况下，我们研究了\ ac {rd}时代的三阶\ acp {sigw}。对于\ ac {lisa}观察，系统地研究了\ ac {snr}和单色原始功率谱之间的关系。它表明，第三阶\ acp {sigw}的效果将截止频率从$ 2F _*$扩展到$ 3F _*$，并导致频率频段的\ ac {snr}的增加$ 10^{ - 5} $ hz $ 10^$ hz $ 1.6 \ \ \ \ \ 3} $ 4， 10^{ - 12} m _ {\ odot} \ sim 10^{ - 7} m _ {\ odot} $。我们发现存在一个临界值$ a _*= 1.76 \ times 10^{ - 2} $，用于单色原始功率谱的幅度，因此，当$ a_Tim> a _*$时，三阶的能量密度\ acp {sigw}的能量密度将大于二阶\ acp \ acp acp aCp {sig aCp {sigw}的能量。
The process of \acp{PBH} formation would be inevitably accompanied by \acp{SIGW}. This strong correlation between \acp{PBH} and \acp{SIGW} signals could be a promising approach to detecting \acp{PBH} in the upcoming \ac{GW} experiments, such as \ac{LISA}. We investigate the third order \acp{SIGW} during a \ac{RD} era in the case of a monochromatic primordial power spectrum $\mathcal{P}_ζ=A_ζk_*δ\left(k-k_*\right)$. For \ac{LISA} observations, the relations between \ac{SNR} and monochromatic primordial power spectrum are studied systematically. It shows that the effects of third order \acp{SIGW} extend the cutoff frequency from $2f_*$ to $3f_*$ and lead to about $200\%$ increase of the \ac{SNR} for frequency band from $10^{-5}$Hz to $1.6\times 10^{-3}$Hz corresponding to \acp{PBH} with mass range $4\times 10^{-12}M_{\odot} \sim 10^{-7}M_{\odot}$. We find that there exists a critical value $A_*=1.76\times 10^{-2}$ for the amplitude of the monochromatic primordial power spectra, such that when $A_ζ>A_*$, the energy density of third order \acp{SIGW} will be larger than the energy density of second order \acp{SIGW}.
