Symmetries of the energy-momentum tensor of cylindrically symmetric static space-times

摘要

We investigate matter symmetries of cylindrically symmetric static space-times. These are classified for both cases when the energy-momentum tensor is nondegenerate and also when it is degenerate. It is found that the nondegenerate energy-momentum tensor gives either three, four, five, six, seven or ten independent matter collineations in which three are isometries and the rest are proper. The worth mentioning cases are those where we obtain the group of matter collineations finite dimensional, even the energy-momentum tensor is degenerate. These are either three, four, five or ten. Some examples are constructed satisfying the constraints on the energy-momentum tensor. (C) 2004 American Institute of Physics. [References: 24]