arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1905.00524gr-qc
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具有非线性经典幻影标量场的宇宙学模型的动力学。II。定性分析和数值模拟

Dynamics of cosmological models with nonlinear classical phantom scalar fields. II. Qualitative analysis and numerical modeling

Yu. G. Ignat'ev, A. A. Agathonov

摘要:

对基于非线性经典和虚标量场的自作用宇宙学模型的演化进行了详细的定性分析和数值模拟。构造了相应动力系统的完整相图及其在庞加莱球上的投影。结果表明,相应的动力系统的相轨迹,取决于参数的模型的标量场,分裂成分叉轨迹沿2,4,或6个不同的动力流。在这样的系统的相空间中,可能出现运动无法到达的区域。在这里,幻影标量场的相位轨迹围绕其中一个对称焦点(中心)缠绕,而经典标量场的相位轨迹可以具有由对应于欧几里得宇宙的零有效能量确定的极限环。

英文摘要:

A detailed qualitative analysis and numerical modeling of the evolution of cosmological models based on nonlinear classical and phantom scalar fields with self-action are performed. Complete phase portraits of the corresponding dynamical systems and their projections onto the Poincaré sphere are constructed. It is shown that the phase trajectories of the corresponding dynamical systems can, depending on the parameters of the model of the scalar field, split into bifurcation trajectories along 2, 4, or 6 different dynamical flows. In the phase space of such systems, regions can appear which are inaccessible for motion. Here phase trajectories of the phantom scalar field wind around one of the symmetric foci (centers) while the phase trajectories of the classical scalar field can have a limit cycle determined by the zero effective energy corresponding to a Euclidean Universe.

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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