  The neutrino flavor oscillation is studied in some classes of alternative
gravity theories in a plane specified by $\theta =\pi /2$, exploiting the
spherical symmetry and general equations for oscillation phases are given. We
first calculate the phase in a general static spherically symmetric model and
then we discuss some spherically symmetric solutions in alternative gravity
theories. Among them we discuss the effect of cosmological term in
Schwarzschild-(anti)de Sitter solution, which is the vacuum solution in $F(R)$
theory, the effect of charge and Gauss-Bonnet coupling parameter on the
oscillation phase is presented. Finally we discuss a charged solution with
spherical symmetry in $F(R)$ theory and also its implication to the oscillation
phase. We calculate the oscillation length and transition probability in these
spherically symmetric spacetime and have presented a graphical representation
for transition probability with various choice for parameters in our theory.
From this we could constrain parameters appearing in these alternative theories
using standard solar neutrino results.
