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arXiv 0810.5712hep-thastro-phgr-qchep-ph
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宇宙学上可行的f(G)引力模型的构造

Construction of cosmologically viable f(G) gravity models

Antonio De Felice, Shinji Tsujikawa

摘要:

我们推导出的条件下,f(G)的引力模型,其拉格朗日密度f的书面条款的高斯-邦纳项G,是宇宙学上可行的。最关键的条件是f对G的二阶导数f_GG必须是正的,这是保证后期de-Sitter解的稳定性以及标准辐射/物质支配时期的存在所必需的。我们提出了一些明确的f(G)模型,其中宇宙加速是由物质时代。我们发现,暗能量的状态方程可以在到达现在的宇宙之前穿过幻影鸿沟。可行的模型有渐近行为f_GG去+0时,|G|去无穷大,在这种情况下,发生快速振荡的扰动,除非这样的振荡自由度是抑制相对于一个均匀的模式在早期宇宙。我们还介绍了一种迭代方法,以避免与大质量的振荡模式的数值不稳定性。

英文摘要:

We derive conditions under which f(G) gravity models, whose Lagrangian densities f are written in terms of a Gauss-Bonnet term G, are cosmologically viable. The most crucial condition to be satisfied is that f_GG, the second derivative of f with respect to G, must be positive, which is required to ensure the stability of a late-time de-Sitter solution as well as the existence of standard radiation/matter dominated epochs. We present a number of explicit f(G) models in which a cosmic acceleration is followed by the matter era. We find that the equation of state of dark energy can cross the phantom divide before reaching the present Universe. The viable models have asymptotic behavior f_GG goes to +0 when |G| goes to infinity, in which case a rapid oscillation of perturbations occurs unless such an oscillating degree of freedom is suppressed relative to a homogeneous mode in the early universe. We also introduce an iterative method to avoid numerical instabilities associated with a large mass of the oscillating mode.

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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