Dynamics of f(R)-cosmologies containing Einstein static models
Dynamics of f(R)-cosmologies containing Einstein static models
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DOI：
10.1088/0264-9381/26/10/105003
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发表时间：
2008-09
影响因子：
3.5
通讯作者：
N. Goheer;Rituparno Goswami;P. Dunsby
中科院分区：
文献类型：
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作者：
N. Goheer;Rituparno Goswami;P. Dunsby
我们研究了f(R)-重力中具有正空间曲率的均匀各向同性FRW宇宙学的动力学，特别注意爱因斯坦静态模型的存在性，并且只研究了这些静态模型已被证明存在的f(R) = Rn的形式。我们构造了一个紧凑的状态空间，识别了系统的过去和未来吸引子，并恢复了一个先前发现的与扩展加速模型相对应的未来吸引子。我们还讨论了具有过去和未来反弹的宇宙的存在，这是广义相对论中不存在的现象。
We study the dynamics of homogeneous isotropic FRW cosmologies with positive spatial curvature in f(R)-gravity, paying special attention to the existence of Einstein static models and only study forms of f(R) = Rn for which these static models have been shown to exist. We construct a compact state space and identify past and future attractors of the system and recover a previously discovered future attractor corresponding to an expanding accelerating model. We also discuss the existence of universes which have both a past and a future bounce, a phenomenon which is absent in general relativity.