论文标题
普遍的Brans-Dicke理论的原始黑洞和标量引起的重力波
Primordial black holes and scalar-induced gravitational waves from the generalized Brans-Dicke theory
论文作者
论文摘要
标量张量通货膨胀的功率谱，具有二次形式的RICCI标量耦合函数$ω（ϕ）= 1-2ϕ/ϕ/ϕ_c+（1+δ^2）（ϕ/ϕ/ϕ_c）^2 $可以增强足够的增强，以产生原始的黑孔和产生标量质量标质诱导的Graftication诱导的Grafticational诱导的。原始黑洞的质量和标量引起的重力波的频率受参数$ ϕ_c $控制，其幅度由参数$δ$确定。产生了带有恒星质量，行星质量和质量$ 10^{-12} m_ \ odot $的原始黑洞，并从峰值理论中获得了丰度。相应标量引起的引力波的频率分别为$ 10^{ - 9} $ hz，$ 10^{ - 6} $ hz和$ 10^{ - 3} $ hz。原始的黑洞，质量约为$ 10^{ - 12} m_ \ odot $几乎可以解释所有暗物质，而标量引起的引力波的频率约为$ 10^{ - 9} $ Hz可以解释纳米格拉夫12.5yrs信号。
The power spectrum of the scalar-tensor inflation with a quadratic form Ricci scalar coupling function $Ω(ϕ)=1- 2ϕ/ϕ_c+(1+δ^2)(ϕ/ϕ_c)^2$ can be enhanced enough to produce primordial black holes and generate scalar-induced gravitational waves. The masses of primordial black holes and the frequencies of scalar-induced gravitational waves are controlled by the parameter $ϕ_c$, and their amplitudes are determined by the parameter $δ$. Primordial black holes with stellar masses, planetary masses, and masses around $10^{-12} M_\odot$ are produced and their abundances are obtained from the peak theory. The frequencies of the corresponding scalar-induced gravitational waves are around $10^{-9}$ Hz, $10^{-6}$ Hz, and $10^{-3}$ Hz, respectively. The primordial black holes with masses around $10^{-12} M_\odot$ can account for almost all of the dark matter, and the scalar-induced gravitational waves with frequencies around $10^{-9}$ Hz can explain the NANOGrav 12.5yrs signal.
