Symmetries of Energy-Momentum Tensor: Some Basic Facts

Abstract

It has been pointed by Hall et al. [1] that matter collinations can be defined by using three different methods. But there arises the question of whether one studies matter collineations by using theThese alternative conditions are, of course, not generally equivalent. This problem has been explored by applying these three definitions to general static spherically symmetric spacetimes. We compare the results with each definition.

Symmetries of the Energy–Momentum Tensor for Static Plane Symmetric Spacetimes

“…In 2007, Sharif and Ismaeel [19] classified spherically symmetric spacetimes via MCs in three different ways by considering the energy-momentum tensor in the covariant (T ab ), contravariant (T ab ) and mixed (T a b ) forms. The authors compared their results of these three cases and proved that they are not equivalent in general.…”