Homothetic Motion in a Bianchi Type-I Model in Lyra Geometry

被引:6
作者
Gad, Ragab M. [1 ,2 ]
机构
[1] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[2] Menia Univ, Fac Sci, Dept Math, El Minia 61915, Egypt
关键词
Bianchi type-I; Homothetic vector field; Lyra geometry; Matter collineations; Baratropic equation of state; KILLING VECTOR-FIELDS; TELEPARALLEL THEORY; SPACE-TIMES; MATTER COLLINEATIONS; SELF-SIMILARITY; KANTOWSKI-SACHS; CLASSIFICATION; SYMMETRIES; EQUATIONS;
D O I
10.1007/s10773-015-2528-z
中图分类号
O4 [物理学];
学科分类号
0702 ;
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.
引用
收藏
页码:2932 / 2941
页数:10
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