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arXiv 1609.00848gr-qc
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时间奇异性对引力波的影响

Effects of Finite-time Singularities on Gravitational Waves

K. Kleidis, V. K. Oikonomou

摘要:

在$F(R)$引力的背景下,我们分析了有限时间奇点对引力波的影响。我们调查的奇点允许发生在暴胀时代,当引力波被认为是,我们讨论了每个允许的奇点的定量影响。正如我们所表明的,在暴胀时期,只允许出现压力奇点,即所谓的II型奇点和IV型奇点。在第二类情况下,引力波的振幅为零或几乎为零,因此这种压力奇点对原始引力波有显著的影响。IV型奇点的情况更有趣,因为正如我们所示,奇点对引力波的振幅没有影响。因此,这个结果结合IV型奇点只影响暴胀动力学的事实,得出宇宙平滑地通过IV型奇点的结论。

英文摘要:

We analyze the impact of finite-time singularities on gravitational waves, in the context of $F(R)$ gravity. We investigate which singularities are allowed to occur during the inflationary era, when gravitational waves are considered, and we discuss the quantitative implications of each allowed singularity. As we show, only a pressure singularity, the so-called Type II and also a Type IV singularity are allowed to occur during the inflationary era. In the case of a Type II, the resulting amplitude of the gravitational wave is zero or almost zero, hence this pressure singularity has a significant impact on the primordial gravitational waves. The case of a Type IV singularity is more interesting since as we show, the singularity has no effect on the amplitude of the gravitational waves. Therefore, this result combined with the fact that the Type IV singularity affects only the dynamics of inflation, leads to the conclusion that the Universe passes smoothly through a Type IV singularity.

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