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arXiv 2201.03226gr-qcastro-ph.HEastro-ph.SR
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偶极磁场对星系双星引力波应变的影响

Impact of dipolar magnetic fields on gravitational wave strain by galactic binaries

Adrien Bourgoin, Christophe Le Poncin-Lafitte, Stéphane Mathis, Marie-Christine Angonin

摘要:

白矮星(WD)和中子星(NS)是宇宙中磁化最强的天体,其磁场可达$10^9\,\mathrm{G}$(WD)和$10^{15}\,\mathrm{G}$(NS)。该星系预计将拥有大约一亿个双WD和数百万个NS-WD双星。在整个任务期间,激光干涉仪空间天线(LISA)将观测一万多个这样的星系双星同时发射的引力波(GW)。本文研究了磁偶极-偶极相互作用对磁性星系双星发出的GW信号的影响。我们推导出这些天体的轨道和旋转运动的长期方程。然后,我们将这些方程的数值和解析。我们的结论是,整体可见的效果是一个额外的长期漂移的平均经度。该漂移与磁矩的乘积成正比,与半长轴的$7/2$幂成反比。最后,我们表明,在零阶偏心率,磁偶极-偶极相互作用移动的LISA测量的引力应变的主要频率。

英文摘要:

White dwarfs (WDs) and neutron stars (NSs) are among the most magnetized astrophysical objects in the universe, with magnetic fields that can reach up to $10^9\,\mathrm{G}$ for WDs and up to $10^{15}\,\mathrm{G}$ for NSs. The galaxy is expected to be populated with approximately one hundred million of double WD and millions of NS-WD binaries. Throughout the duration of the mission, the Laser Interferometer Space Antenna (LISA) will observe gravitational waves (GWs) emitted simultaneously by more than ten thousand of such galactic binaries. In this paper, we investigate the effect of the magnetic dipole-dipole interaction on the GW signal emitted by magnetic galactic binaries. We derive the secular equations governing the orbital and rotational motion of these objects. Then, we integrate these equations both numerically and analytically. We conclude that the overall visible effect is an additional secular drift of the mean longitude. This drift is proportional to the product of the magnetic moments and is inversely proportional to the $7/2$ power of the semi-major axis. Finally, we show that, at zeroth-order in eccentricity, the magnetic dipole-dipole interaction shifts the main frequency of the gravitational strain measured by LISA.

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。

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