Attractor Universe in the Scalar-Tensor Theory of Gravitation
Attractor Universe in the Scalar-Tensor Theory of Gravitation
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DOI：
10.1103/physrevd.79.084026
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发表时间：
2009-02
影响因子：
5
通讯作者：
K. Maeda;Y. Fujii
中科院分区：
文献类型：
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作者：
K. Maeda;Y. Fujii
在引力的标量-张量理论中，要确定宇宙学方程的解在存在宇宙学常数（或真空能量）的情况下是否表现为独立于初始值的吸引子，似乎是一件不平凡的事情。我们主要根据Brans-Dicke模型在Jordan标架中要求标量场与物质拉格朗日量解耦，在二维相空间中发展了一个一般公式。我们证明了存在两种不动点，其中一种是依赖于耦合常数和状态方程的吸引子。我们发现，在约旦框架中的静态宇宙是一个吸引子的存在下的宇宙常数的耦合常数的一定范围内。我们将我们的分析扩展到幂律势，发现一种新的幂律膨胀所造成的耦合到物质流体，也作为吸引子。
In the scalar-tensor theory of gravitation it seems nontrivial to establish if solutions of the cosmological equations in the presence of a cosmological constant (or a vacuum energy) behave as attractors independently of the initial values. We develop a general formulation in terms of two-dimensional phase space, mainly according to the Brans-Dicke model requiring the scalar field decoupled from the matter Lagrangian in the Jordan frame. We show that there are two kinds of fixed points, one of which is an attractor depending on the coupling constant and equation of state. We find that the static universe in the Jordan frame is an attractor in the presence of a cosmological constant for some range of the coupling constant. We extend our analysis to a power-law potential, finding a new type of power-law inflation caused by the coupling to the matter fluid, also as an attractor.