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arXiv 1106.2865hep-thastro-ph.COgr-qc
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用两个状态方程参数研究$f(R)$引力中的未来宇宙学演化

Future cosmological evolution in $f(R)$ gravity using two equations of state parameters

Hyung Won Lee, Kyoung Yee Kim, Yun Soo Myung

摘要:

我们调查的问题,未来振荡周围的幻影鸿沟$f(R)$重力。为此,我们引入了由$f(R)$ -高阶曲率项引起的两类能量密度和压力。一个是在Jordan框架的开始阶段具有常规的能量密度和压力,其连续性方程提供了原生状态方程$w_{\rm DE}$。另一方面,另一个具有不同形式的能量密度和压力,它们不明显满足连续性方程。这需要引入有效的状态方程$w_{\rm eff}$来描述$f(R)$ -流体,除了原生状态方程$\tilde{w}_{\rm DE}$。我们确认,未来振荡的幻影划分周围发生在$f(R)$引力通过引入两种类型的状态方程。最后指出了$x=x_c$的奇异性是由于$f(R)$引力的稳定性条件违反了.

英文摘要:

We investigate the issues of future oscillations around the phantom divide for $f(R)$ gravity. For this purpose, we introduce two types of energy density and pressure arisen from the $f(R)$-higher order curvature terms. One has the conventional energy density and pressure even in the beginning of the Jordan frame, whose continuity equation provides the native equation of state $w_{\rm DE}$. On the other hand, the other has the different forms of energy density and pressure which do not obviously satisfy the continuity equation. This needs to introduce the effective equation of state $w_{\rm eff}$ to describe the $f(R)$-fluid, in addition to the native equation of state $\tilde{w}_{\rm DE}$. We confirm that future oscillations around the phantom divide occur in $f(R)$ gravities by introducing two types of equations of state. Finally, we point out that the singularity appears ar $x=x_c$ because the stability condition of $f(R)$ gravity violates.

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