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arXiv 0912.0128gr-qc
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引力辐射与空间几何的各向同性变化

Gravitational radiation and isotropic change of the spatial geometry

Istvan Racz

摘要:

为了简化弱场近似中的一些考虑,包括确定干涉引力波探测器的响应,经常使用“横向无痕”(TT)规范。虽然在纯真空情况下,度量微扰的相应规范不变部分的识别是显而易见的,但人们并不普遍知道,TT部分的确定和使用要复杂得多,反过来,当涉及源时,回报要少得多。这里表明,同样的横向部分的电流的库仑规范在麦克斯韦理论的TT规范部分的度量扰动的来源变得非本地。在实践中,这就需要使用比在弱场极限和许多后牛顿考虑中所用的投影算子更合适的投影算子。本文还指出,当考虑非线性效应时,有关干涉型引力波探测器响应的某些结论可能会受到影响。特别是,引力辐射可能会产生各向同性的空间几何变化的可能性,呼吁注意。

英文摘要:

To simplify a number of considerations in the weak field approximation, including the determination of the response of interferometric gravitational wave detectors, the "transverse traceless" (TT) gauge is often used. While the identification of the corresponding gauge invariant part of the metric perturbations in the pure vacuum case is obvious, it is not widely known that the determination and the use of the TT part is much more complicated and, in turn, much less rewarding when sources are involved. It is shown here that likewise the transverse part of the electric current in the Coulomb gauge within Maxwell's theory the sources of the TT gauge part of the metric perturbations become non-local. This, in practice, invokes the necessity of the use of more adequate projection operators then the ones applied, e.g, in the weak field limit, and in many post-Newtonian considerations. It is also pointed out that, whenever nonlinear effects are taken into account, some of the conclusions concerning the response of interferometric gravitational wave detectors may be influenced. In particular, attention is called on the possibility that gravitational radiation may produce an isotropic change of the spatial geometry.

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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