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arXiv 0909.2717gr-qcastro-ph.CO
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关于暗能量广义标量张量模型的注记

Remarks on generalized scalar-tensor models of dark energy

M. Alimohammadi, H. Behnamian

摘要:

考虑了具有拉格朗日$F(ϕ,R)-U(ϕ)(\nablaϕ)^2$的广义标量-张量模型。结果表明,在这些模型中普遍存在着幻影分界线相交和减速到加速的过渡。两个具体的例子,耦合quintessence模型和Brans-Dicke模型被认为是。对于第一个例子,它表明,与$ξ>3/16$的模型,$ω=-1$过渡存在。这是验证了一些特殊情况下的数值。对于Brans-Dicke模型,它表明,过渡不发生,这一结果可以通过使用该模型的精确解进行验证。最后讨论了量子效应对这些现象的贡献。结果表明,在某些特殊情况下,当$ω=-1$跃迁为经典禁戒跃迁时,量子效应可以诱导跃迁.耦合精髓模型的$ξ=1/6$就是一个例子。通过共形反常描述了量子效应。

英文摘要:

The generalized scalar-tensor models with Lagrangian $F(ϕ,R)-U(ϕ)(\nablaϕ)^2$ are considered. It is shown that the phantom-divide-line crossing and the deceleration to acceleration transition generally occurr in these models. Two specific examples, the coupled quintessence model and the Brans-Dicke model are considered. For the first example, it is shown that for the models with $ξ>3/16$, the $ω=-1$ transition exists. This is verified numerically for some special cases. For the Brans-Dicke model, it is shown that the transition does not occur, a result which can be verified by using the exact solution of this model. Finally the contribution of quantum effects on these phenomena is investigated. It is shown that for some special cases where the $ω=-1$ transition is classically forbidden, the quantum effects can induce transition. The $ξ=1/6$ of coupled quintessence model is an example of this. The quantum effects are described via the account of conformal anomaly.

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