arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1903.01129astro-ph.HE
收藏

超低频引力波与脉冲星自旋下降率统计的约束

Constraints on ultra-low-frequency gravitational waves with statistics of pulsar spin-down rates

Hiroki Kumamoto, Yuya Imasato, Naoyuki Yonemaru, Keitaro Takahashi, Sachiko Kuroyanagi

摘要:

我们通过我们的研究工作(Yonemaru et al. 2016)中提出的方法,利用毫秒级恒星(MSP)的自旋下降率统计数据探测超低频引力波(GW)。所考虑的频率范围是$10^{-12}{\rm Hz} \lesssim f_{\rm GW} \lesssim 10^{-10}$ Hz,这是传统的脉冲星定时阵列无法访问的。这种低频引力波的效应表现为对自旋下降速率的偏置,在天空中具有四极模式。我们利用自旋下降率分布的偏度和负自旋下降率的MSP的数量来寻找由GWs引起的偏差。应用这种方法,从ATNF脉冲星目录中选择的149个MSP,我们得到的上界的GW振幅的$\dot{h} < 6.2 \times 10^{-18}~{\rm sec}^{-1}$和$\dot{h} < 8.1 \times 10^{-18}~{\rm sec}^{-1}$在银河系中心和M87的方向上,分别的时间导数。将GW幅度近似为$\dot{h} \sim 2 πf_{\rm GW} h$,对于$f_{\rm GW} = 1/(100~{\rm yr})$,边界分别转换为$h < 3 \times 10^{-9}$和$h < 4 \times 10^{-9}$。最后,我们给出了在这些地点可能的超大质量黑洞双星的影响。

英文摘要:

We probe ultra-low-frequency gravitational waves (GWs) with statistics of spin-down rates of milli-second pulsars (MSPs) by a method proposed in our prevous work (Yonemaru et al. 2016). The considered frequency range is $10^{-12}{\rm Hz} \lesssim f_{\rm GW} \lesssim 10^{-10}$Hz, which cannot be accessed by the conventional pulsar timing array. The effect of such low-frequency GWs appears as a bias to spin-down rates which has a quadrupole pattern in the sky. We use the skewness of the spin-down rate distribution and the number of MSPs with negative spin-down rates to search for the bias induced by GWs. Applying this method to 149 MSPs selected from the ATNF pulsar catalog, we derive upper bounds on the time derivative of the GW amplitudes of $\dot{h} < 6.2 \times 10^{-18}~{\rm sec}^{-1}$ and $\dot{h} < 8.1 \times 10^{-18}~{\rm sec}^{-1}$ in the directions of the Galactic Center and M87, respectively. Approximating the GW amplitude as $\dot{h} \sim 2 πf_{\rm GW} h$, the bounds translate into $h < 3 \times 10^{-9}$ and $h < 4 \times 10^{-9}$, respectively, for $f_{\rm GW} = 1/(100~{\rm yr})$. Finally, we give the implications to possible super-massive black hole binaries at these sites.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑