Physics

Gravitation

Mathematical physics

Lorentz transformation

Galaxy

Gravitational singularity

Schwarzschild radius

General relativity

Schwarzschild metric

Programming language

Path (computing)

Computer science

Astrophysics

Quantum mechanics

Redshift

Classical mechanics

The European Physical Journal C

In this article, we study further applications of the Schwarzschild–Finsler–Randers (SFR) model which was introduced in a previous work Triantafyllopoulos et al. (Eur Phys J C 80(12):1200, 2020). 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.

Applications of the Schwarzschild–Finsler–Randers model