论文标题
相互作用标量场宇宙学的扰动分析
A Perturbative Analysis of Interacting Scalar Field Cosmologies
论文作者
论文摘要
具有广义谐波电位的标量场宇宙学在扁平和负弯曲的Friedmann-Lema- Robertson-Walker和Bianchi I指标中进行了研究。标量字段与物质之间的相互作用被考虑。渐近方法和平均理论用于获取有关解决方案空间的相关信息。在这种方法中，哈勃参数扮演了时间依赖性的扰动参数的作用，该参数控制了全系统和时间平均溶液之间的误差的幅度。我们的方法用于表明完整和时间平均的系统具有相同的渐近行为。数值模拟作为这种行为的证据。此外，溶液的渐近行为与耦合函数无关。
Scalar field cosmologies with a generalized harmonic potential are investigated in flat and negatively curved Friedmann-Lemaître-Robertson-Walker and Bianchi I metrics. An interaction between the scalar field and matter is considered. Asymptotic methods and averaging theory are used to obtain relevant information about the solution space. In this approach, the Hubble parameter plays the role of a time-dependent perturbation parameter which controls the magnitude of the error between full-system and time-averaged solutions as it decreases. Our approach is used to show that full and time-averaged systems have the same asymptotic behavior. Numerical simulations are presented as evidence of such behavior. Moreover, the asymptotic behavior of the solutions is independent of the coupling function.
