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arXiv 1010.1302gr-qc
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相对论度规引力理论对引力波的LISA敏感性

LISA Sensitivities to Gravitational Waves from Relativistic Metric Theories of Gravity

Massimo Tinto, Márcio Eduardo da Silva Alves

摘要:

对引力波的直接观测将为探测高度致密天体的动力学性质、绘制时空的超相对论区域和检验爱因斯坦的广义相对论提供一种独特的工具。LISA(激光干涉仪空间天线)是美国航天局和欧空局的一项联合飞行任务,将在今后十年内发射,它将通过探测和研究低频宇宙引力波对三个远程航天器之间交换的六束调制激光束相位的影响来执行这些科学任务。通过直接测量LISA将检测到的波的偏振分量,我们将能够以良好的灵敏度测试爱因斯坦的相对论。由于引力波信号预测的最广义的相对论度规理论的重力帐户{ \it六}偏振模式(通常的两个爱因斯坦的张量偏振以及两个矢量和两个标量波分量),我们推导出LISA时间延迟干涉响应和估计其敏感性矢量和标量型波。我们发现,(i)在频率大于大约单程光时间的倒数($\approx 6 \times 10^{-2} $ Hz)。LISA是十倍以上的敏感标量纵向和矢量信号比张量和标量-横波,和(ii)在其频带的低部分是同样敏感的张量和矢量波,有点不太敏感的标量信号。

英文摘要:

The direct observation of gravitational waves will provide a unique tool for probing the dynamical properties of highly compact astrophysical objects, mapping ultra-relativistic regions of space-time, and testing Einstein's general theory of relativity. LISA (Laser Interferometer Space Antenna), a joint NASA-ESA mission to be launched in the next decade, will perform these scientific tasks by detecting and studying low-frequency cosmic gravitational waves through their influence on the phases of six modulated laser beams exchanged between three remote spacecraft. By directly measuring the polarization components of the waves LISA will detect, we will be able to test Einstein's theory of relativity with good sensitivity. Since a gravitational wave signal predicted by the most general relativistic metric theory of gravity accounts for {\it six} polarization modes (the usual two Einstein's tensor polarizations as well as two vector and two scalar wave components), we have derived the LISA Time-Delay Interferometric responses and estimated their sensitivities to vector- and scalar-type waves. We find that (i) at frequencies larger than roughly the inverse of the one-way light time ($\approx 6 \times 10^{-2} $ Hz.) LISA is more than ten times sensitive to scalar-longitudinal and vector signals than to tensor and scalar-transverse waves, and (ii) in the low part of its frequency band is equally sensitive to tensor and vector waves and somewhat less sensitive to scalar signals.

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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