Matter collineations (MCs) are the vector fields along which theenergy-momentum tensor remains invariant under the Lie transport. Invariance ofthe metric, the Ricci and the Riemann tensors have been studied extensively andthe vectors along which these tensors remain invariant are called Killingvectors (KVs), Ricci collineations (RCs) and curvature collineations (CCs),respectively. In this paper plane symmetric static spacetimes have been studiedfor their MCs. Explicit form of MCs together with the Lie algebra admitted bythem has been presented. Examples of spacetimes have been constructed for whichMCs have been compared with their RCs and KVs. The comparison shows thatneither of the sets of RCs and MCs contains the other, in general.
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