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arXiv 0705.1772gr-qc
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由卡西米尔力驱动的宇宙加速度

Acceleration of the Universe driven by the Casimir force

Marek Szydlowski, Wlodzimierz Godlowski

摘要:

我们研究了FRW宇宙在类似$(-)(1+z)^4$的Casimir能量标度下的演化情形。卡西米尔效应被用来解释真空能量差(从天体物理学测量的值与从量子场论计算获得的值相比非常小)。FRW模型的动力学表示在一个二维动力学系统,以显示该模型在相空间中的所有允许的初始条件的所有演化路径。我们还找到了由Casimir效应驱动的宇宙非平坦演化路径的精确解。Casimir力FRW模型与$Λ$ CDM模型的主要区别在于它们的通解分别是一组具有反弹解和初始奇点的演化路径。利用SNIa、FRIIb射电星系、重子振荡峰和CMB观测资料对演化方案进行了检验。我们使用贝叶斯信息准则和贝叶斯因子比较了所考虑的模型和$Λ$ CDM模型的解释能力。我们对模型选择的信息标准的调查表明,$Λ$ CDM模型优于所考虑的模型。然而,像辐射项这样的负项的存在可以消除理论和观察到的原始${}^4$ He和D丰度之间的张力。

英文摘要:

We investigate an evolutional scenario of the FRW universe with the Casimir energy scaling like $(-)(1+z)^4$. The Casimir effect is used to explain the vacuum energy differences (its value measured from astrophysics is so small compared to value obtained from quantum field theory calculations). The dynamics of the FRW model is represented in terms of a two-dimensional dynamical system to show all evolutional paths of this model in the phase space for all admissible initial conditions. We find also an exact solution for non flat evolutional paths of Universe driven by the Casimir effect. The main difference between the FRW model with the Casimir force and the $Λ$CDM model is that their generic solutions are a set of evolutional paths with a bounce solution and an initial singularity, respectively. The evolutional scenario are tested by using the SNIa data, FRIIb radiogalaxies, baryon oscillation peak and CMB observation. We compare the power of explanation of the model considered and the $Λ$CDM model using the Bayesian information criterion and Bayesian factor. Our investigation of the information criteria of model selection showed the preference of the $Λ$CDM model over the model considered. However the presence of negative like the radiation term can remove a tension between the theoretical and observed primordial ${}^4$He and D abundance.

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