Classification of Variational Conservation Laws of General Plane Symmetric Spacetimes
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摘要:
In this article we discuss Noether conservation laws admitted by a Lagrangian L =gab(dxa/ds)(dxb/ds)of a test particle moving in the field of a general plane symmetric non-static spacetime metric.In this context,we first present a general solution representing a Noether symmetry vector subject to differential constraints satisfied by the general plane symmetric non-static metric.We then use a class of plane symmetric non-static metrics obtained by Feroze et al.and discuss,in each case,Noether conservation laws in comparison with Killing symmetries.