Ricci Symmetries of Static Space-Times with Maximal Symmetric Transverse Spaces

• 来源期刊: 理论物理通讯(英文版)
• 年，卷（期）: 2008,（5）
• 页码范围: 1229-1234
• 页数: 6页
• 语种: 英文

摘要

In the paper [M. Akbar and R.G. Cai, Commun. Theor. Phys. 45 (2006) 95], a complete classification is provided with at least one component of the vector field V is zero. In this paper, I consider the vector field V with all non-zero components and the static space times with maximal symmetric transverse spaces axe classified according to their Ricci collineations. These axe investigated for non-degenerate Ricci tensor det R ≠ 0. It turns out that the only collineations admitted by these spaces can be ten, seven, six or four. It also covers our previous results as a spacial case. Some new metrics admitting proper Ricci collineations are also investigated.