Primordial black holes and third order scalar induced gravitational waves  

作　　者：常哲 况宇庭 张旭坤 周敬之 Zhe Chang;Yu-Ting Kuang;Xukun Zhang;Jing-Zhi Zhou(Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100049,China;University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100049,China [2]University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Chinese Physics C》2023年第5期232-238,共7页中国物理C（英文版）

基　　金：Supported by the National Nature Science Foundation of China(12075249,11690022);the Key Research Program of the Chinese Academy of Sciences(XDPB15)。

摘　　要：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 Pζ=Aζkσ(k-k*).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 2f+to 3f and lead to an approximately 200%increase in the SNR for the frequency band from 10^(-5)Hz to 1.6×10^(-3)Hz,corresponding to PBHs with masses in the range 4×10^(-12)M⊙~10^(-7)M⊙.We find that there is a critical value,A×=1.76×10^(-2),for the amplitude of the monochromatic primordial power spectra,such that when Aζ>A*,the energy density of third order SIGWs is larger than that of second order SIGWs.

关 键 词：scalar induced gravitational waves primordial black holes gravitational waves 

分 类 号：P145.8[天文地球—天体物理]