arXiv 0912.05892009-12-03gr-qchep-th

广义Gauss-Bonnet暗能量的量子吸引子

Quantum attractors of generalized Gauss-Bonnet dark energy

M. Alimohammadi, N. Agharafiei

备注：: 20 pages, 10 figures, LaTeX

摘要：

本文研究了量子效应对由拉格朗日量F（R，G）引入的广义Gauss-Bonnet理论相空间结构的影响。G是Gauss-Bonnet不变量，通过共形反常描述了量子效应。研究表明，量子效应改变了F（R，G）引力模型在R-H平面上吸引子的位置、数量和稳定性.一般来说，这些变化不是来自小扰动的类型，而是它可以引起巨大的，因此不可解释的变化，这种变化源于这种效应的“奇异扰动”性质。换句话说，人们不能忽略量子修正，必须始终加以考虑。研究了理想正压流体对这一问题的影响，结果表明，这类物质不改变量子效应。结果表明，引起量子效应的耦合-精粹模型的经典贡献是这种类型的，即完全正压流体，因此不能改变我们的结果。

英文摘要：

The influences of quantum effects on the structure of the phase-space of generalized Gauss-Bonnet theory, introduced by the Lagrangian F(R,G), have been studied. G is the Gauss-Bonnet invariant, and the quantum effects are described via the account of conformal anomaly. It has been shown that the quantum effects change many aspects of the attractors of F(R,G) gravity models in the R-H plane, including the location of the attractors, the number of them and their stability properties. These variations are not, in general, from the type of small perturbations, but instead, it can induce the great, so not ignorable, variations which have root in the "singular perturbation" nature of this effect. In other words, one can not ignore the quantum corrections and must be always considered. The influences of the perfect barotropic fluids on this problem have been studied, and it has been shown that this kind of matters do not alter the quantum effects. It has been shown that the classical contribution of the coupled-quintessence model, which is responsible for inducing the quantum effects, is of this type, that is a perfect barotropic fluid, and therefore can not change our results.

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英文摘要：

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