Revisiting conserved currents in F(R) theory of gravity via Noether
  symmetry
  Noether symmetry of F(R) theory of gravity in vacuum and in the presence of
pressureless dust yields F(R) \propto R^{3/2} along with the conserved current
\frac{d}{dt}(a\sqrt R) in Robertson-Walker metric and nothing else. Still some
authors recently claimed to have obtained four conserved currents setting F(R)
\propto R^{3/2} a-priori, taking time translation along with a gauge term. We
show that the first one of these does not satisfy the field equations and the
second one is the Hamiltonian which is constrained to vanish in gravity and
thus a part and parcel of the field equations. We also show that the other two
conserved currents, which do not contain time translation are the same in
disguise and identical to the one mentioned above. Thus the claim is wrong.
