symmetries of the Ricci tensor of static space times with maximal symmetric transverse spaces

Abstract

Static space times with maximal symmetric transverse spaces are classified according to their Ricci collineations. These are investigated for non-degenerate Ricci tensor ($det.(R_{\alpha })\ne 0$). It turns out that the only collineations admitted by these spaces can be ten, seven, six or four. Some new metrics admitting proper Ricci collineations are also investigated.

11 pages

References in corpus (2)

• Ricci Collineations of the Bianchi Types I and III, and Kantowski-Sachs Spacetimes
• Ricci Collineations for Non-Degenerate, Diagonal and Spherically Symmetric Ricci Tensors

Cited by in corpus (1)

• Matter Collineations of Static Spacetimes with Maximal Symmetric Transverse Spaces