论文标题
randall-sundrum模型的动力学系统分析，带有brane的tachyon场
Dynamical System Analysis of Randall-Sundrum Model with Tachyon Field on the Brane
论文作者
论文摘要
在此手稿中，我们使用动力学系统方法来研究带有限制在勃雷氏的Tachyon标量场的Randall-Sundrum Braneworld模型的线性动力学。我们认识到，tachyon电位的形式在宇宙的演变中起着重要作用。对于平方电位的情况，我们发现我们的新变量之一$λ$是恒定的。在这种情况下，我们获得了系统的关键点，并使用线性扰动方法研究了它们的稳定性。然后，我们转向$λ$不变的高斯电位。利用瞬时临界点的想法，我们研究了宇宙的行为及其可能的命运。该手稿的有趣结果之一是，我们的宇宙可能会在将来从加速到减速的另一个阶段过渡。
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.
