Question: (a) Starting with the Proca Lagrangian density (12.91) and following the same procedure as for the electromagnetic fields, show that the symmetric stress-energy-momentum tensor for

(a) Starting with the Proca Lagrangian density (12.91) and following the same procedure as for the electromagnetic fields, show that the symmetric stress-energy-momentum tensor for the Proca fields is

(b) For these fields in interaction with the external source J^?, as in (12.91), show that the differential conservation laws take the same form as for the electro-magnetic fields, namely,

(?) Show explicitly that the time-time and space-time components of ?^?? are

m(**-w)] g*#FP" + p( A*A* g"YFFB +

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