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arXiv 2109.06552gr-qc
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LISA探测宇宙学起源的引力波背景的能力:宇宙弦事例

Ability of LISA to detect a gravitational-wave background of cosmological origin: the cosmic string case

Guillaume Boileau, Alexander C. Jenkins, Mairi Sakellariadou, Renate Meyer, Nelson Christensen

摘要:

我们研究了激光干涉仪空间天线(LISA)探测宇宙弦产生的随机引力波背景(GWB)的能力,并随后估计存在仪器噪声、致密双星的天体物理背景和白矮星双星的银河前景时的弦张力$Gμ$。Fisher信息和马尔可夫链蒙特卡罗方法提供了LISA噪声和不同信号源的参数的估计。我们证明了LISA的能力,同时估计银河系的前景,以及天体物理和宇宙弦产生的背景。考虑到预期的天体物理背景和银河系前景,LISA可以测量$G μ\approx 10^{-16}$到$Gμ\approx 10^{-15}$范围内或更大范围内的宇宙弦张力,其中银河系前景对这一极限的影响大于天体物理背景。本文提出的参数估计方法也适用于LISA观测波段的其他宇宙学背景。

英文摘要:

We investigate the ability of the Laser Interferometer Space Antenna (LISA) to detect a stochastic gravitational-wave background (GWB) produced by cosmic strings, and to subsequently estimate the string tension $Gμ$ in the presence of instrument noise, an astrophysical background from compact binaries, and the galactic foreground from white dwarf binaries. Fisher Information and Markov Chain Monte Carlo methods provide estimates of the LISA noise and the parameters for the different signal sources. We demonstrate the ability of LISA to simultaneously estimate the galactic foreground, as well as the astrophysical and cosmic string produced backgrounds. Considering the expected astrophysical background and a galactic foreground, a cosmic string tension in the $G μ\approx 10^{-16}$ to $Gμ\approx 10^{-15}$ range or bigger could be measured by LISA, with the galactic foreground affecting this limit more than the astrophysical background. The parameter estimation methods presented here can be applied to other cosmological backgrounds in the LISA observation band.

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