General approach to the Lagrangian ambiguity in $f(R,T)$ gravity

G. A. Carvalho, F. Rocha, H. O. Oliveira +1

The $f(R,T)$ gravity is a theory whose gravitational action depends arbitrarily on the Ricci scalar, $R$, and the trace of the stress-energy tensor, $T$; its field equations also d…