General dynamics of varying-alpha universes
General dynamics of varying-alpha universes
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变α宇宙的一般动力学
DOI：
10.1103/physrevd.88.103513
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发表时间：
2013
影响因子：
5
通讯作者：
Barrow J
中科院分区：
文献类型：
--
作者：
Barrow J
我们引入并研究了 Bekenstein-Sandvik-Barrow-Magueijo 的变化 α 理论的扩展，以允许理论中的任意耦合函数和自相互作用势项。我们研究了完整的演化方程，但没有假设 α 的变化对膨胀比例因子和物质密度演化的影响可以忽略不计，正如早期研究中所假设的那样。使用动力系统技术，针对广泛的势和耦合函数，详细研究了该模型在零和非零空间曲率情况下的弗里德曼-罗伯逊-沃克宇宙学背景。所有的渐近行为都被发现了，同时也找到了一些新的解。我们研究电磁参数 zeta 为正和负的情况，对应于非相对论物质中的磁和静电能量主导。特别是，我们研究了驱动 α 变化的标量场具有指数和幂律自相互作用势的情况，以及物质和 α 变化之间的耦合常数不再是常数的理论行为。
We introduce and study extensions of the varying alpha theory of Bekenstein-Sandvik-Barrow-Magueijo to allow for an arbitrary coupling function and self-interaction potential term in the theory. We study the full evolution equations without assuming that variations in alpha have a negligible effect on the expansion scale factor and the matter density evolution, as was assumed in earlier studies. The background Friedmann-Robertson-Walker cosmology of this model in the cases of zero and nonzero spatial curvature is studied in detail, using dynamical systems techniques, for a wide class of potentials and coupling functions. All the asymptotic behaviors are found, together with some new solutions. We study the cases where the electromagnetic parameter, zeta, is positive and negative, corresponding to magnetic and electrostatic energy domination in the nonrelativistic matter. In particular, we investigate the cases where the scalar field driving alpha variations has exponential and power-law self-interaction potentials and the behavior of theories where the coupling constant between matter and alpha variations is no longer a constant.