论文标题
通过Lisa-Tianqin网络测试重力波背景的极化
Testing the polarization of gravitational wave background with LISA-TianQin network
论文作者
论文摘要
虽然一般相对论仅预测了两个张量模式用于重力波极化,但重力的一般度量理论最多允许另外四个模式,包括两个矢量和两个标量模式。观察重力波的极化模式可以直接测试改性重力。在设计敏感性处的空间激光探测器可以检测到的随机重力波背景(SGWB),将为直接测量替代极化提供机会。在本文中,我们研究了Lisa-Tianqin网络用于检测随机背景的替代极化的性能,并提出了一种分离不同极化模式的方法。首先,我们概括了小天线近似值,以计算具有任意极化的SGWB的重叠减少函数,这适用于任何时间延迟的干涉法组合。然后,我们分析Lisa-Tianqin对具有不同极化的SGWB的检测能力。基于Lisa-Tianqin轨道特征,我们提出了一种将不同的极化模式与其混合数据区分开的方法。与地面检测器相比,Lisa-Tianqin网络更有能力解决SGWB的极化。特别是,Lisa-Tianqin网络有潜力解决基于地面检测器无法的两种标量模式。
While general relativity predicts only two tensor modes for gravitational wave polarization, general metric theories of gravity allows up to four additional modes, including two vector and two scalar modes. Observing the polarization modes of gravitational waves could provide a direct test of the modified gravity. The stochastic gravitational wave background (SGWB), which may be detected by space-based laser-interferometric detectors at design sensitivity, will provide an opportunity to directly measure alternative polarization. In this paper, we investigate the performance of the LISA-TianQin network for detecting alternative polarizations of stochastic backgrounds, and propose a method to separate different polarization modes. First, we generalize the small antenna approximation to compute the overlap reduction functions for SGWB with arbitrary polarization, which is suitable for any time-delay interferometry combination. Then we analyze the detection capability of LISA-TianQin for SGWB with different polarizations. Based on the LISA-TianQin orbital characteristics, we propose a method to distinguish different polarization modes from their mixed data. Compared with ground-based detectors, the LISA-TianQin network is more capable of resolving polarizations of SGWB. In particular, the LISA-TianQin network has the potential to resolve two scalar modes that ground-based detectors cannot.