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arXiv 2008.01395gr-qchep-ph
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广义不确定原理的本质动力学

Dynamics of Quintessence in Generalized Uncertainty Principle

Alex Giacomini, Genly Leon, Andronikos Paliathanasis, Supriya Pan

摘要:

本文研究了在空间平坦的均匀各向同性宇宙背景下,用广义不确定原理修正的经典标量场模型。通过对动力系统的分析,我们研究了两种势的临界点的性质及其稳定性,一种是指数势,另一种是一般势。在指数势的情况下,我们发现了一些新的临界点,这个修改后的精粹方案,描述德西特宇宙,这些临界点不出现在标准的精粹模型与指数势。这是这项工作的主要成果之一。现在,对于一般势,我们的分析表明,临界点的物理性质与指数势完全相同,这意味着在这个修改的精髓场景中,所有类型的势都具有相同的行为。这种结果在宇宙学中是全新的,因为随着势的变化,通常在所有方面都存在差异。

英文摘要:

We investigate the quintessence scalar field model modified by the Generalized Uncertainty Principle in the background of a spatially flat homogeneous and isotropic universe. By performing a dynamical system analysis we examine the nature of the critical points and their stability for two potentials, one is the exponential potential and the other is a general potential. In the case of an exponential potential, we find some new critical points for this modified quintessence scenario that describe the de Sitter universe, and these critical points do not appear in the standard quintessence model with an exponential potential. This is one of the main results of this work. Now for the general potential our analysis shows that the physical properties of the critical points remain exactly the same as for the exponential potential which means that within this modified quintessence scenario all kind of potentials have same behaviour. This kind of result is completely new in cosmology because with the change of the potential, differences are usually expected in all respect.

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