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arXiv 2103.00556gr-qc
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非极小动力学耦合理论中暴胀的生存性

On viability of inflation in non-minimal kinetic coupling theory

N. Avdeev, A. Toporensky

摘要:

我们考虑了非最小动力学耦合理论中暴胀的初始条件。如果暴胀完全由没有势能的动力学项驱动,那么所得到的e折叠数只取决于标量场$\dot ϕ$的初速度。我们明确地写出了e折叠数的表达式,并表明,对于物理上合理的耦合常数值,我们可以得到60 e折叠只有指数大的初始$\dot ϕ$。另一方面,当考虑标量场势时,我们不需要很大的$\dot ϕ$来开始计算60个e-折叠,另一方面,一些初始条件导致物理上不允许的永恒膨胀。我们数值计算表明,在本文件中使用的措施,只有一小部分的初始条件导致永恒的通货膨胀的合理值的耦合常数。

英文摘要:

We consider initial conditions for inflation in non-minimal kinetic coupling theory. If inflation is driven solely by kinetic term with no potential, the resulting number of e-folds depends only upon initial velocity of the scalar field $\dot ϕ$. We write down the expression for the number of e-folds explicitly, and show that for physically reasonable values of the coupling constant, we can get 60 e-folds only for exponentially big initial $\dot ϕ$. When the scalar field potential is taken into account, on the other hand, we need not very large $\dot ϕ$ to start with for 60 e-folds, on the other hand, some initial condition lead to physically inadmissible eternal inflation. We show numerically that in the measure used in the present paper only smaller part of initial conditions lead to eternal inflation for reasonable values of the coupling constant.

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