Applications of the Schwarzschild-Finsler-Randers model

TL;DR

This paper explores applications of the Schwarzschild-Finsler-Randers model, analyzing curvature, singularities, gravitational redshift, and photon spheres, revealing small deviations from general relativity potentially due to Lorentz violation effects.

Contribution

It extends the SFR model by examining its curvature properties, gravitational redshift, and photon sphere behavior, highlighting deviations from GR and possible Lorentz violations.

Findings

Small deviations from classical GR results.

Potential Lorentz violation effects.

Insights into the generalized photon sphere.

Abstract

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.