有挠时平行四边形的破缺：探测引力波的一种等价替代方法
Breaking of parallelograms in presence of torsion: an equivalent alternative approach to detect gravitational waves
摘要：
本文导出了一个典型双星系统产生的引力平面波方程，作为爱因斯坦方程的线性近似解。相应的引力场的动力学分析在一个四维时空流形，赋予一个度量，并考虑到扭转。在这种情况下，由于引力波的存在，扭转的存在的几何原因，作为一个不对称的连接系数相对于交换的指数的突出。在激光干涉引力探测器中，当有引力波存在时，两束激光沿探测器两臂来回传播的延迟时间可从这一观点得到解释。扭转的几何解释将这种延迟时间与激光束在时空中的轨迹所形成的扭曲的破裂联系起来。计算了一颗典型的NS-NS双星脉冲星在两个特定方位上的延迟，对应于引力波的不同偏振。这些值与探测器的臂在存在引力波的情况下的相对长度变化有关，并且被证明与在标准广义相对论的背景下获得的结果完全等效。
英文摘要：
The equations for gravitational plane waves produced by a typical binary system as a solution of linear approximation of Einstein equations is derived. The dynamics of the corresponding gravitational field is analyzed in a 4-dimensional space-time manifold, endowed with a metric and taking into account the torsion. In this context, the geometrical reason of the existence of torsion due to the presence of gravitational waves, as an asymmetry of connection coefficients with respect of the swapping of indices's is highlighted. In a laser interferometer gravitational detector The delay time between the arrivals of the two laser beams traveling back and forth along the two arms of in presence of gravitational waves, is interpreted from this point of view. The geometrical interpretation of torsion, links this delay time to the breaking of the parallelogram formed by the trajectories of the laser beams in space-time. This delay is calculated for a typical NS-NS binary pulsar in two specific orientations with respect of the experimental device, corresponding to different polarizations of the gravitational waves. These values are related to the relative length variation of the detector's arms in presence of gravitational waves, and shown to be completely equivalent to the results obtained in the context of the standard General Relativity.
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