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arXiv 2302.08334gr-qcmath-phmath.MP
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(α,β)-型Finsler引力波及其观测特征

Finsler gravitational waves of $(α,β)$-type and their observational signature

Eindhoven University of Technology(埃因霍温理工大学)

Sjors Heefer, Andrea Fuster

AI总结:

本文研究了(α,β)-型Finsler引力波的精确解及其观测特征,通过计算雷达距离修正,发现Finsler引力波与广义相对论标准引力波在干涉仪中的效应无法区分。

摘要:

我们引入了一类新的(α,β)-型精确解,这些解与广义相对论中著名的pp波密切相关。这些解包含目前已知文献中的大多数精确解作为特殊情况。这些解的线性化版本可解释为Finsler引力波,我们研究了此类波的物理效应。更具体地说,我们计算了Finsler引力波通过探测器时干涉仪臂上雷达距离的修正。我们得出显著结论:Finsler引力波对干涉仪的影响与广义相对论中的标准引力波效应无法区分。在此过程中,我们还从物理上论证了Randers度量的修改,并证明其具有非常有趣的性质。

英文摘要:

We introduce a new class of $(α,β)$-type exact solutions in Finsler gravity closely related to the well-known pp-waves in general relativity. Our class contains most of the exact solutions currently known in the literature as special cases. The linearized versions of these solutions may be interpretted as Finslerian gravitational waves, and we investigate the physical effect of such waves. More precisely, we compute the Finslerian correction to the radar distance along an nterferometer arm at the moment a Finslerian gravitational wave passes a detector. We come to the remarkable conclusion that the effect of a Finslerian gravitational wave on an interferometer is indistinguishable from that of standard gravitational wave in general relativity. Along the way we also physically motivate a modification of the Randers metric and prove that it has some very interesting properties.

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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