https://doi.org/10.1140/epjc/s10052-021-09790-6
Regular Article - Theoretical Physics
Applications of the Schwarzschild–Finsler–Randers model
1
Section of Astrophysics, Astronomy and Mechanics, Department of Physics, National and Kapodistrian University of Athens, Panepistimiopolis, 15784, Athens, Greece
2
Academy of Athens, Research Center for Astronomy and Applied Mathematics, Soranou Efessiou 4, 11527, Athens, Greece
3
National Observatory of Athens, Lofos Nymfon, 11852, Athens, Greece
4
Department of Mathematics, National and Kapodistrian University of Athens, Panepistimiopolis, 15784, Athens, Greece
Received:
3
September
2021
Accepted:
31
October
2021
Published online:
11
November
2021
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.
© The Author(s) 2021
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