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arXiv 2202.02695gr-qcastro-ph.COhep-th
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从宇宙爆炸反弹到暗能量时代的平稳统一

Towards a smooth unification from an ekpyrotic bounce to the dark energy era

Shin'ichi Nojiri, Sergei D. Odintsov, Tanmoy Paul

摘要:

在一个无鬼的$f(R,\mathcal{G})$模型的背景下,我们提出了一个非奇异的宇宙学场景中,宇宙最初通过一个ekpyrotic阶段具有反弹的行为,并在反弹后,它顺利过渡到一个物质或辐射一样的减速时代,这是进一步顺利地连接到暗能量时代在目前的时代。我们考虑高斯-博内(GB)耦合函数,使其与事件GW 170817兼容。通过适当的重构技术,我们得到了非平凡的标量场势和GB耦合函数。这样的标量势和GB耦合函数的源从ekpyrotic反弹到暗能量时代与中间减速时代的平滑统一的场景。Ekpyrotic收缩相的出现证明了背景演化中各向异性问题(也称为BKL不稳定性)的解决。哈勃半径在反弹附近表现出不对称的行为,特别是,哈勃半径的演化导致了远早于深亚哈勃区域中的反弹的原始微扰模式的产生时代。相应地,我们执行标量和张量扰动的演变在本上下文中,作为一个结果,标量功率谱在大尺度模式被发现是有问题的。因此,提出了一个扩展的情况下,我们认为一个pre-ekpyrotic阶段的状态方程参数小于1,并重新检查的标量和张量功率谱,在大尺度上,跨越哈勃半径在pre-ekpyrotic阶段。在这方面,GB耦合函数显示出相当大的影响,在减少张量标量比的情况下相比,GB耦合是不存在的。此外,暗能量时代与Planck+SNe+BAO数据一致。

英文摘要:

In the context of a ghost free $f(R,\mathcal{G})$ model, we present a non-singular cosmological scenario in which the universe initially contracts through an ekpyrotic phase having a bouncing like behaviour, and following the bounce, it smoothly transits to a matter or radiation like deceleration era which is further smoothly connected to the dark energy era at present epoch. We consider the Gauss-Bonnet (GB) coupling function in such a way that it gets compatible with the event GW170817. Using suitable reconstruction technique, we obtain the non-trivial scalar field potential as well as the GB coupling function. Such scalar potential and GB coupling function source a smooth unified scenario from an ekpyrotic bounce to the dark energy era with an intermediate deceleration era. The occurrence of ekpyrotic contraction phase justifies the resolution of the anisotropic problem (also known as BKL instability) in the background evolution. The Hubble radius shows an asymmetric behaviour around the bounce, in particular, the evolution of the Hubble radius leads to the generation era of the primordial perturbation modes far before the bounce in the deep sub-Hubble regime. Accordingly we perform the scalar and tensor perturbation evolution in the present context, and as a result, the scalar power spectrum at large scale modes is found to be problematic. Thus an extended scenario is proposed where we consider a pre-ekpyrotic phase having the equation of state parameter is less than unity, and re-examine the scalar and tensor power spectra, on large scales that cross the Hubble radius during the pre-ekpyrotic stage. In this regard, the GB coupling function shows considerable effects in reducing the tensor to scalar ratio compared to the case where the GB coupling is absent. Furthermore the dark energy epoch is consistent with the Planck+SNe+BAO data.

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