星载引力波天线对太阳振荡的响应
Response of a Spaceborn Gravitational Wave Antenna to Solar Oscillations
摘要：
我们研究的可能性，观察非常小的振幅低频太阳振荡与建议的激光干涉仪空间天线LISA。对于低于$\sim 2\times 10^{-4}$ Hz的频率的主要贡献是从近区时间依赖的重力四极矩与正常模式的振荡。对于高于$\sim 3\times 10^{-4}$ Hz的频率$ν$，主要贡献来自四极振荡产生的引力辐射，其比牛顿信号大$\sim (2 πr ν/ c)^4$倍，其中$r$是到太阳的距离，$c$是光速。日震速度和强度测量尚未探测到太阳背景以上的低阶四极压力和重力振荡模。我们估计的振幅需要给一个可检测的信号上的LISA型空间激光干涉仪意味着表面速度振幅的顺序为1-10毫米/秒的频率范围内$1 - 5~10^{-4}$ Hz的太阳。这样的表面速度低于当前日震测量的灵敏度极限。如果模式存在的频率和振幅在这个范围内，它们可以用LISA型激光干涉仪检测。
英文摘要：
We investigate the possibility of observing very small amplitude low frequency solar oscillations with the proposed laser interferometer space antenna LISA. For frequencies below $\sim 2\times 10^{-4}$ Hz the dominant contribution is from the near zone time dependent gravitational quadrupole moments associated with the normal modes of oscillation. For frequencies $ν$ above $\sim 3\times 10^{-4}$ Hz the dominant contribution is from gravitational radiation generated by the quadrupole oscillations which is larger than the Newtonian signal by a factor $\sim (2 πr ν/ c)^4$, where $r$ is the distance to the Sun, and $c$ is the velocity of light. The low order solar quadrupole pressure and gravity oscillation modes have not yet been detected above the solar background by helioseismic velocity and intensity measurements. Our estimates of the amplitudes needed to give a detectable signal on a LISA type space laser interferometer imply surface velocity amplitudes on the sun of the order of 1-10 mm/sec in the frequency range $1 - 5~10^{-4}$Hz. Such surface velocities are below the current sensitivity limits on helioseismic measurements. If modes exist with frequencies and amplitudes in this range they could be detected with a LISA type laser interferometer.
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