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arXiv 0806.3299gr-qc
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关于经典标量场势

On the Quintessence Scalar Field Potential

J. A. Espichán Carrillo, J. M. Silva, J. A. S. Lima

摘要:

本文提出了一种新的解析方法,用于确定包含理想流体和纯标量场的混合物的FRW型宇宙中的标量场势$V(ϕ)$。通过假设理想流体的状态方程参数$γ-1 \equiv p_γ/ρ_γ$和精粹参数$ω\equiv p/ρ$为常数,证明了平面情况下的势为$V(ϕ) = Aρ_{ϕ_{0}}\sinh^{B}(λϕ)$,其中$A$,$B$和$λ$是$γ$和$ω$的函数.这个一般结果是爱因斯坦场方程和参数恒定性的纯粹结果。应用相同的方法封闭和开放的宇宙,相应的标量场势也明确获得了一个大的自由参数$γ$和$ω$的值。一个公式产生的过渡红移从减速到加速制度也确定和比较$Λ$ CDM的情况下。

英文摘要:

In this work we propose a new analytical method for determining the scalar field potential $V(ϕ)$ in FRW type cosmologies containing a mixture of perfect fluid plus a quintessence scalar field. By assuming that the equation of state parameters of the perfect fluid, $γ-1 \equiv p_γ/ρ_γ$ and the quintessence, $ω\equiv p/ρ$ are constants, it is shown that the potential for the flat case is $V(ϕ) = Aρ_{ϕ_{0}}\sinh^{B}(λϕ)$, where $A$, $B$ and $λ$ are functions of $γ$ and $ω$. This general result is a pure consequence of the Einstein field equations and the constancy of the parameters. Applying the same method for closed and open universes, the corresponding scalar field potentials are also explicitly obtained for a large set of values of the free parameters $γ$ and $ω$. A formula yielding the transition redshift from a decelerating to an accelerating regime is also determined and compared to the $Λ$CDM case.

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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