In Mark Srednicki's book "Quantum Field Theory"
He says that a tensor field B^{αβ} with no particular symmetry can be written as :-
B^{αβ} = A^{αβ} + S^{αβ} + (1/4) g^{αβ} T(x) Equn. 33.6
where A - Antisymmetric, S = symmetric and T(x) = trace of B^{αβ} .
Is there any reason...