Primordial black holes and third order scalar induced gravitational waves |
| |
Authors: | Zhe Chang Yu-Ting Kuang Xukun Zhang Jing-Zhi Zhou |
| |
Affiliation: | 1. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China2. University of Chinese Academy of Sciences, Beijing 100049, China |
| |
Abstract: | The process of primordial black hole (PBH) formation is inevitably accompanied by scalar induced gravitational waves (SIGWs). The strong correlation between PBH and SIGW signals may offer a promising approach to detecting PBHs in upcoming gravitational wave experiments, such as the Laser Interferometer Space Antenna (LISA). We investigate third order SIGWs during a radiation-dominated era in the case of the monochromatic primordial power spectrum begin{document}$ mathcal{P}_{zeta}=A_{zeta}k_*deltaleft(k-k_*right) $end{document}![]() . For LISA observations, the relationships between the signal-to-noise ratio (SNR) and monochromatic primordial power spectrum are studied systematically, revealing that the effects of third order SIGWs extend the cutoff frequency from begin{document}$ 2f_* $end{document}![]() to begin{document}$ 3f_* $end{document}![]() and lead to an approximately 200% increase in the SNR for the frequency band from begin{document}$ 10^{-5} $end{document}![]() Hz to begin{document}$ 1.6times 10^{-3} $end{document}![]() Hz, corresponding to PBHs with masses in the range begin{document}$4times 10^{-12}M_{odot} sim 10^{-7}M_{odot}$end{document}![]() . We find that there is a critical value, begin{document}$ A_*=1.76times 10^{-2} $end{document}![]() , for the amplitude of the monochromatic primordial power spectra, such that when begin{document}$ A_{zeta}>A_* $end{document}![]() , the energy density of third order SIGWs is larger than that of second order SIGWs. |
| |
Keywords: | scalar induced gravitational waves primordial black holes gravitational waves |
|
| 点击此处可从《中国物理C(英文版)》浏览原始摘要信息 |
|
点击此处可从《中国物理C(英文版)》下载免费的PDF全文 |
|