五维Bianchi-Ⅴ型理想流体宇宙模型

5-Dimensional Bianchi Type V Perfect Fluid Models

本文给出了态方程为P=(γ-1)ρ的理想流体的五维Bianchi-V型宇宙模型的普遍解,并讨论了γ=2/3和γ=1/2的两个具体的解。这两个解随着时间的增长将趋于五维膨胀各向同性宇宙模型。此外,还考察了解的奇点的性质。

In this paper, perfect fluid solutions of 5-dimensional Bianchi Type V model with a state equation p - (r- 1)σ are presented. Two particular solutions of caser=3/2 and case r = 1/2 are discussed. With the lapse of time, the two models ap-proach isotropic expansion. The initial singularity of the models is discussed.