关于ELKO宇宙学中吸引子行为的几点注记
Some remarks on the attractor behaviour in ELKO cosmology
摘要:
本文重新分析了ELKO旋量场与宇宙标准物质相互作用系统的动力学稳定性的最新结果,得出的结论是:这种系统不存在孤立的稳定点,从而不能解决宇宙符合问题。然而,当在系统中引入与ELKO场势有关的常数参数$δ$时,对于ELKO场与物质之间的某些特定类型的相互作用,发现了稳定的不动点。虽然参数$δ$与一个未知的势有关,但为了满足稳定性条件以及不动点是实的,可以对常数参数$δ$的取值范围进行限制,从而可以缓解某些特定相互作用的重合问题.这种对ELKO势的限制开启了将ELKO场作为宇宙中暗能量的候选者的可能性,从而通过ELKO场衰变为物质来解释宇宙加速的当前阶段。
英文摘要:
Recent results on the dynamical stability of a system involving the interaction of the ELKO spinor field with standard matter in the universe have been reanalysed, and the conclusion is that such system does not exhibit isolated stable points that could alleviate the cosmic coincidence problem. When a constant parameter $δ$ related to the potential of the ELKO field is introduced in the system however, stable fixed points are found for some specific types of interaction between the ELKO field and matter. Although the parameter $δ$ is related to an unknown potential, in order to satisfy the stability conditions and also that the fixed points are real, the range of the constant parameter $δ$ can be constrained for the present time and the coincidence problem can be alleviated for some specific interactions. Such restriction on the ELKO potential opens possibility to apply the ELKO field as a candidate to dark energy in the universe, and so explain the present phase of acceleration of the universe through the decay of the ELKO field into matter.
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