Abstract
AbstractIn this work, we extend the study of Schwarzschi ld–Finsler–Randers (SFR) spacetime previously investigated by a subset of the present authors (Triantafyllopoulos et al. in Eur Phys J C 80(12):1200, 2020; Kapsabelis et al. in Eur Phys J C 81(11):990, 2021). We will examine the dynamical analysis of geodesics which provides the derivation of the energy and the angular momentum of a particle moving along a geodesic of SFR spacetime. This study allows us to compare our model with the corresponding of general relativity (GR). In addition, the effective potential of SFR model is examined and it is compared with the effective potential of GR. The phase portraits generated by these effective potentials are also compared. Finally we deal with the derivation of the deflection angle of the SFR spacetime and we find that there is a small perturbation from the deflection angle of GR. We also derive an interesting relation between the deflection angles of the SFR model and the corresponding result in the work of Shapiro et al. (Phys Rev Lett 92(12):121101, 2004). These small differences are attributed to the anisotropic metric structure of the model and especially to a Randers term which provides a small deviation from GR.
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
Reference71 articles.
1. A. Triantafyllopoulos, S. Basilakos, E. Kapsabelis, P.C. Stavrinos, Schwarzschild-like solutions in Finsler–Randers gravity. Eur. Phys. J. C 80(12), 1200 (2020)
2. E. Kapsabelis, A. Triantafyllopoulos, S. Basilakos, P.C. Stavrinos, Applications of the Schwarzschild–Finsler–Randers model. Eur. Phys. J. C 81(11), 990 (2021)
3. S.S. Shapiro, J.L. Davis, D.E. Lebach, J.S. Gregory, Measurements of the solar gravitational deflection of radio waves using geodetic very-long-baseline interferometry data, 1979–1999. Phys. Rev. Lett. 92(12), 121101 (2004)
4. J. Hartle, Gravity: An Introduction to Einstein’s General Relativity (Pearson Education Inc, Addison Wesley, San Francisco, 2002)
5. G.S. Asanov, P.C. Stavrinos, Finslerian deviations of geodesics over tangent bundle. Rep. Math. Phys. 30(1), 63–69 (1991)
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