Effects of the cosmological constant on chaos in an FRW scalar field universe  

作　　者：Da-Zhu Ma Xin Wu Shuang-Ying Zhong 

机构地区：[1]Department of Physics, Nanchang University, Nanchang 330031, China [2]Department of Physics, Hubei University for Nationalities, Enshi 445000, China

出　　处：《Research in Astronomy and Astrophysics》2009年第11期1185-1191,共7页天文和天体物理学研究（英文版）

基　　金：supported by the Natural Science Foundation of China (Grant No. 10873007);supported by the Science Foundation of Jiangxi Education Bureau (GJJ09072);the Program for Innovative Research Teams of Nanchang University

摘　　要：The dependence of chaos on two parameters of the cosmological constant and the self-interacting coefficient in the imaginary phase space for a closed Friedman- Robertson-Walker （FRW） universe with a conformally coupled scalar field, as the full understanding of the dependence in real phase space, is investigated numerically. It is found that Poincar6 plots for the two parameters less than 1 are almost the same as those in the absence of the cosmological constant and self-interacting terms. For energies below the energy threshold of 0.5 for the imaginary problem in which there are no cosmological constant and self-interacting terms, an abrupt transition to chaos occurs when at least one of the two parameters is 1. However, the strength of the chaos does not increase for energies larger than the threshold. For other situations of the two parameters larger than 1, chaos is weaker, and even disappears as the two parameters increase.The dependence of chaos on two parameters of the cosmological constant and the self-interacting coefficient in the imaginary phase space for a closed Friedman- Robertson-Walker （FRW） universe with a conformally coupled scalar field, as the full understanding of the dependence in real phase space, is investigated numerically. It is found that Poincar6 plots for the two parameters less than 1 are almost the same as those in the absence of the cosmological constant and self-interacting terms. For energies below the energy threshold of 0.5 for the imaginary problem in which there are no cosmological constant and self-interacting terms, an abrupt transition to chaos occurs when at least one of the two parameters is 1. However, the strength of the chaos does not increase for energies larger than the threshold. For other situations of the two parameters larger than 1, chaos is weaker, and even disappears as the two parameters increase.

关 键 词：COSMOLOGY cosmological parameters -- methods NUMERICAL 

分 类 号：O412.1[理学—理论物理] P159[理学—物理]