A Complete Classification of Curvature Collineations of Cylindrically Symmetric Static Metrics |
| |
Authors: | Ashfaque H Bokhari Abdul R Kashif Asghar Qadir |
| |
Institution: | (1) Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan;(2) Department of Mathematical Science, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia |
| |
Abstract: | Curvature collineations are symmetry directions for the Riemann tensor, as isometries are for the metric tensor and Ricci collineations are for the Ricci tensor. Complete listings of many metrics possessing some minimal symmetry have been given for a number of symmetry groups for the latter two symmetries. It is shown that a claimed complete listing of cylindrically symmetric static metrics by their curvature collineations 1] was actually incomplete and is completed here. It turns out that in this complete list, unlike the previous claim, there are curvature collineations that are distinct from the set of isometries and of Ricci collineations. The physical interpretation of some of the metrics obtained is given. |
| |
Keywords: | Cylindrically symmetric spacetime curvature collineation |
本文献已被 SpringerLink 等数据库收录! |
|