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arXiv 1403.7604gr-qcastro-ph.COhep-phhep-th
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多重标量场的宇宙标度解

Cosmological Scaling Solutions for Multiple Scalar Fields

Takeshi Chiba, Antonio De Felice, Shinji Tsujikawa

摘要:

在多个标量场与正压理想流体耦合的情况下,导出了宇宙标度解存在的一般k-本质拉格朗日量。除了与辐射和物质时代动力学相关的标度不动点外,我们还得到了与暗能量相关的标度场主导解,并讨论了它们在双场系统中的稳定性.我们将我们的一般结果应用到弦论中的两个正则场耦合指数势模型。根据模型参数和初始条件,我们表明,标度物质占主导地位的时代,其次是宇宙加速吸引子可以实现与/不耦合到标量场。不同类型的标度解可以通过暗能量状态方程从高红移到今天的演化来区分。

英文摘要:

The general k-essence Lagrangian for the existence of cosmological scaling solutions is derived in the presence of multiple scalar fields coupled to a barotropic perfect fluid. In addition to the scaling fixed point associated with the dynamics during the radiation and matter eras, we also obtain a scalar-field dominated solution relevant to dark energy and discuss the stability of them in the two-field set-up. We apply our general results to a model of two canonical fields with coupled exponential potentials arising in string theory. Depending on model parameters and initial conditions, we show that the scaling matter-dominated epochs followed by an attractor with cosmic acceleration can be realized with/without the couplings to scalar fields. The different types of scaling solutions can be distinguished from each other by the evolution of the dark energy equation of state from high-redshifts to today.

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