  In this article, we study further applications of the
Schwarzschild-Finsler-Randers (SFR) model which was introduced in a previous
work. In this model, we investigate curvatures and the generalized Kretschmann
invariant which plays a crucial role for singularities. In addition, the
derived path equations are used for the gravitational redshift of the SFR-model
and these are compared with the GR model. Finally, we get some results for
different values of parameters of the generalized photonsphere of the SFR-model
and we find small deviations from the classical results of general relativity
(GR) which may be ought to the possible Lorentz violation effects.
