Revisiting Noether gauge symmetry for F(R) theory of gravity
  Noether gauge symmetry for F(R) theory of gravity has been explored recently.
The fallacy is that, even after setting gauge to vanish, the form of F(R)
\propto R^n (where n \neq 1, is arbitrary) obtained in the process, has been
claimed to be an outcome of gauge Noether symmetry. On the contrary, earlier
works proved that any nonlinear form other than F(R) \propto R^3/2 is obscure.
Here, we show that, setting gauge term zero, Noether equations are satisfied
only for n = 2, which again does not satisfy the field equations. Thus, as
noticed earlier, the only admissible form that Noether symmetry is F(R) \propto
R^3/2 . Noether symmetry with non-zero gauge has also been studied explicitly
here, to show that it does not produce anything new.
