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arXiv 2005.10592gr-qc
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膜上有快子场的Randall-Sundrum模型的动力系统分析

Dynamical System Analysis of Randall-Sundrum Model with Tachyon Field on the Brane

Arvin Ravanpak, Golnaz Farpour Fadakar

摘要:

本文用动力系统方法研究了快子标量场限制在膜上的Randall-Sundrum膜世界模型的线性动力学。我们认识到快子势的形式在宇宙的演化中起着重要的作用。对于平方反比势的情况,我们发现我们的新变量之一,$λ$,是常数。我们得到了系统在这种情况下的临界点,并使用线性摄动方法研究其稳定性。然后我们转向高斯势,其中$λ$不是常数。利用瞬时临界点的思想,我们研究宇宙的行为及其可能的命运。这份手稿的一个有趣的结果是,我们的宇宙在未来很可能会经历另一次从加速到减速的相变。

英文摘要:

In this manuscript we use the dynamical system approach to study the linear dynamics of a Randall-Sundrum braneworld model with a tachyon scalar field confined to the brane. We recognize that the form of the tachyon potential plays a significant role in the evolution of the universe. For the case of an inverse square potential we find that one of our new variables, $λ$, is constant. We obtain critical points of the system in this situation and investigate their stability using the linear perturbation method. Then we turn to a Gaussian potential in which $λ$ is not constant. Using the idea of instantaneous critical points we study the behavior of the universe and its possible fates. One of the interesting results of this manuscript is that our universe will probably experience another phase transition from acceleration to deceleration in the future.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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