Lyra几何中Bianchi Ⅰ型模型的位似运动
Homothetic Motion in a Bianchi Type-I Model in Lyra Geometry
摘要:
本文研究了基于Lyra几何的Bianchi I型模型的位似向量场。考虑了位移矢量为$t$的函数和位移矢量为常数的情况。在这两种情况下,我们研究状态方程。所获得的结果之间的比较,使用天琴座几何,并已获得先前的背景下,广义相对论,黎曼几何的基础上,将给出。
英文摘要:
In this paper we study a homothetic vector field of a Bianchi type-I model based on Lyra geometry. The cases when a displacement vector is function of $t$ and when it is constant are considered. In both two cases we investigate the equation of state. A comparison between the obtained results, using Lyra geometry, and that have obtained previously in the context of General Relativity, based on Riemannian geometry, will be given.
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