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arXiv 0812.1734gr-qc
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Randall-Sundrum膜世界中的自相互作用标量场:动力系统观点

Self-interacting Scalar Field Trapped in a Randall-Sundrum Braneworld: The Dynamical Systems Perspective

Tame Gonzalez, Tonatiuh Matos, Israel Quiros, Alberto Vazquez-Gonzalez

摘要:

我们应用动力系统工具研究了囚禁在Randall-Sundrum膜上的自相互作用标量场的线性动力学。研究了最简单的自相互作用势:a)常数势,b)指数势。结果表明,Randall-Sundrum模型的动力学行为与早期的标准四维行为有很大的不同:在所有感兴趣的情况下,(奇异)空宇宙是相空间中每一条轨迹的过去吸引子,同时动能支配解总是一个鞍临界点.晚期动力学不受膜效应的影响。

英文摘要:

We apply the dynamical systems tools to study the linear dynamics of a self-interacting scalar field trapped on a Randall-Sundrum brane. The simplest kinds of self-interaction potentials are investigated: a) constant potential, and b) exponential potential. It is shown that the dynamics of the Randall-Sundrum model significantly differs from the standard four-dimensional behavior at early times: in all cases of interest the (singular) empty universe is the past attractor for every trajectory in phase space, meanwhile the kinetic energy-dominated solution is always a saddle critical point. The late-time dynamics is not affected by the brane effects.

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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