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A CLARIFICATION ON A COMMON MISCONCEPTION ABOUT INTERFEROMETRIC DETECTORS OF GRAVITATIONAL WAVES

机译:关于重力波干涉光检测器的常见误解的澄清

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摘要

The aims of this letter are two. First, to show the angular gauge-invariance on the response of interferometers to gravitational waves (GWs). In this process, after resuming for completeness results on the Transverse-Traceless (TT) gauge, where, in general, the theoretical computations on GWs are performed, we analyse the gauge of the local observer, which represents the gauge of a laboratory environment on Earth. The gauge-invariance between the two gauges is shown in its full angular and frequency dependences. In previous works in the literature this gauge-invariance was shown only in the low frequencies approximation or in the simplest geometry of the interferometer with respect to the propagating GW (i.e. both of the arms of the interferometer are perpendicular to the propagating GW).Second, as far as the computation of the response functions in the gauge of the local observer is concerned, a common misconception about interferometers is also clarified. Such a misconception purports that, as the wavelength of laser light and the length of an interferometer's arm are both stretched by a GW, no effect should be visible, invoking an analogy with cosmological redshift in an expanding universe.
机译:这封信的目的是两个。首先,显示干涉仪对重力波(GWs)的响应中的角规不变性。在此过程中,在恢复了横断面(TT)量表的完整性结果之后,通常对GWs进行理论计算,然后我们分析本地观察者的量表,它代表实验室环境的量表。地球。两个量规之间的量规不变性以其完全的角度和频率依赖性表示。在以前的文献中,仅在低频近似或相对于传播的GW的干涉仪的最简单几何形状中显示了轨距不变性(即,干涉仪的两个臂都垂直于传播的GW)。就本地观察者的量表中的响应函数的计算而言,也澄清了关于干涉仪的常见误解。这种误解认为,当激光的波长和干涉仪的臂长都被GW拉伸时,就看不到任何影响,从而在膨胀的宇宙中产生类似于宇宙红移的类比。

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  • 来源
    《Hadronic Journal》 |2011年第2期|p.133-148|共16页
  • 作者

    Cristian Corda;

  • 作者单位

    International Institute for Theoretical Physics and Mathematics (IFM) Eistein-Galilei, Via Santa Gonda 14,59100 Prato, Italy and Institute for Basic Research, Palm Harbor, Florida 34684 U.S.A.;

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  • 正文语种 eng
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