利用双星转动参数研究超长引力波
Investigating ultra-long gravitational waves with measurements of pulsars rotational parameters
摘要：
提出了一种探测$10^{-12}$ ~ \hbox{$10^{-8}$ Hz}频率范围内引力波背景的方法。该方法的基础是对双星转动参数的精确测量：在该范围内的引力波（GW）的影响会对双星转动参数产生影响，因此，通过对双星转动频率的导数分析，可以得出关于GWB的能量密度的一些结论。从多个矩阵计算的二阶导数的值如下限制GWB $Ω_{gw}$的密度：$Ω_{gw}<2\times10^{-6}$。此外，脉冲星阵列中不同星的频率$ν$的时间序列可以用异常残差分析的方法进行两两互相关，从而为超低频GWB探测提供了可能。
英文摘要：
A method is suggested to explore the gravitational wave background (GWB) in the frequency range from $10^{-12}$ to \hbox{$10^{-8}$ Hz}. That method is based on the precise measurements of pulsars' rotational parameters: the influence of the gravitational waves (GW) in the range will affect them and therefore some conclusions about energy density of the GWB can be made using analysis of the derivatives of pulsars' rotational frequency. The calculated values of the second derivative from a number of pulsars limit the density of GWB $Ω_{gw}$ as follows: $Ω_{gw}<2\times10^{-6}$. Also, the time series of the frequency $ν$ of different pulsars in pulsar array can be cross-correlated pairwise in the same manner as in anomalous residuals analysis thus providing the possibility of GWB detection in ultra-low frequency range.
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