Applications of the Schwarzschild–Finsler–Randers model

Abstract 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...

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Main Authors: E. Kapsabelis, A. Triantafyllopoulos, S. Basilakos, P. C. Stavrinos
Format: article
Language:EN
Published: SpringerOpen 2021
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Online Access:https://doaj.org/article/7588d3646f144295a1bd1e766f6180f6
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Summary:Abstract 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.