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arXiv 0809.2945gr-qc
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德西特时空中引力波的命运

The fate of a gravitational wave in de Sitter spacetime

M. Nowakowski, I. Arraut

摘要:

如果我们想解释最近发现的宇宙加速阶段,我们的选择之一就是修改爱因斯坦张量。最简单的这种修改,与所有的观测结果一致,是正的宇宙学常数$Λ$。这样的修改也会对局部观测值和弱引力波的传播产生影响。我们在这里表明,宇宙学常数的列入阻碍了引力波的检测,如果后者是在一个距离大于${\cal L}_{\rm crit}=(6\sqrt{2}πf \hat{h}/\sqrt{5})r_Λ^2$,其中$r_Λ=1/\sqrtΛ$和$f$和$\hat{h}$的频率和应变的波,分别产生。${\cal L}_{\rm crit}$是一个天体物理数量级。我们解释的结果的意义上,引力波的解释是唯一可能的,如果特征波的属性是小于非振荡的解决方案,由于$Λ$。

英文摘要:

If we want to explain the recently discovered accelerated stage of the universe, one of the option we have is to modify the Einstein tensor. The simplest such modification, in agreement with all observations, is the positive cosmological constant $Λ$. Such a modification will also have its impact on local observables and on the propagation of weak gravitational waves. We show here that the inclusion of a cosmological constant impedes the detection of a gravitational wave if the latter is produced at a distance larger than ${\cal L}_{\rm crit}=(6\sqrt{2}πf \hat{h}/\sqrt{5})r_Λ^2$ where $r_Λ=1/\sqrtΛ$ and $f$ and $\hat{h}$ are the frequency and the strain of the wave, respectively. ${\cal L}_{\rm crit}$ is of astrophysical order of magnitude. We interpret the result in the sense that the gravitational wave interpretation is only possible if the characteristic wave properties are smaller than the non-oscillatory solution due to $Λ$.

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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