Abstract

We use the dynamical system method in order to investigate the dynamics of a non-minimally coupled tachyon field within induced gravity on the brane in a holographic cosmological context. Assuming an exponential potential and a monomial form of the nonminimal coupling function, we construct the phase space of the model. Two possible cases, namely, the minimal and nonminimal coupling, are investigated. Using dynamical systems tools, it is found that the model can describe an attractor solution which corresponds to the inflationary era in the non-minimal coupling case.

中文翻译：

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全息宇宙学中非最小achon场的动力学系统研究

摘要

我们使用动力学系统方法来研究全息宇宙学背景下在麸皮上的感应引力内非最小耦合的tachyon场的动力学。假设非最小耦合函数的指数势和单项式，我们构造模型的相空间。研究了两种可能的情况，即最小和非最小耦合。使用动力学系统工具，发现该模型可以描述一个吸引子解，该解对应于非最小耦合情况下的膨胀时代。