论文标题
标量场电势的3D相空间分析
A 3D Phase Space Analysis of Scalar Field Potentials
论文作者
论文摘要
在这项研究中，我们介绍了通过选择两个电势（即躺椅电势以及我们称之为损坏的指数法势）指定的典型模型的相位分析，这是一个新的建议。使用动力学系统分析，我们对两个模型及其特性的宇宙学演化提供了系统的研究。我们发现新的缩放溶液的特征是标量场的能量密度与物质成分的能量密度之间的恒定比。鉴于有可能减轻巧合问题的可能性，这些解决方案具有很高的兴趣。此外，模型还显示吸引人解决方案。最终，我们构建了使用双电势构建的混凝土模型，根据该模型，一个电位实现了早期缩放制度，第二个电位允许退出该制度，并进入由标量场主导的吸引者点驱动的宇宙加速度时期。
In this study, we present the phase-space analysis of Quintessence models specified by the choice of two potentials, namely the Recliner potential and what we call the broken exponential-law potential, which is a new proposal. Using a dynamical system analysis we provide a systematic study of the cosmological evolution of the two models and their properties. We find new scaling solutions characterised by a constant ratio between the energy density of the scalar field and that of the matter component. These solutions are of high interest in light of the possibility to alleviate the coincidence problem. Additionally, the models also show attractor solutions. We finally construct concrete models built using a double potential according to which one potential realises the early-time scaling regime and the second one allows to exit this regime and to enter in the epoch of cosmic acceleration driven by a scalar-field dominated attractor point.
