Schwarzschild-Finsler-Randers spacetime: Dynamical analysis, Geodesics and Deflection Angle
arXiv:2208.05063 · doi:10.1140/epjc/s10052-022-11081-7
Abstract
In this work, we extend the study of Schwarzschild-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 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 the GR.
arXiv comment21 pages, 5 figures
References in corpus (47)
- General Very Special Relativity is Finsler Geometry
- Planck-scale modified dispersion relations and Finsler geometry
- Riemann-Finsler geometry and Lorentz-violating kinematics
- Astrophysical Tests of Lorentz and CPT Violation with Photons
- The General Very Special Relativity in Finsler Cosmology
- Bipartite Riemann-Finsler geometry and Lorentz violation
- Resembling dark energy and modified gravity with Finsler-Randers cosmology
- Friedmann Robertson-Walker model in generalised metric space-time with weak anisotropy
- Principles of Einstein-Finsler Gravity and Perspectives in Modern Cosmology
- Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields
- Finsler gravity action from variational completion
- Clifford and Riemann-Finsler Structures in Geometric Mechanics and Gravity
- On the definition and examples of cones and Finsler spacetimes
- Classical-physics applications for Finsler space
- Light cones in Finsler spacetime
- Cosmological equivalence between the Finsler-Randers space-time and the DGP gravity model
- Stringy Space-Time Foam, Finsler-like Metrics and Dark Matter Relics
- Finsler-Randers Cosmology: dynamical analysis and growth of matter perturbations
- Cyclic and Ekpyrotic Universes in Modified Finsler Osculating Gravity on Tangent Lorentz Bundles
- Lorentz Invariance Violation and Symmetry in Randers--Finsler Spaces
- Geodesics and the magnitude-redshift relation on cosmologically symmetric Finsler spacetimes
- Finsler pp-waves
- Cosmology of Lorentz fiber-bundle induced scalar-tensor theories
- Cosmological evolution and dark energy in osculating Barthel-Randers geometry
- Bi-metric pseudo-Finslerian spacetimes
- Dynamics in Varying vacuum Finsler-Randers Cosmology
- Weak Gravitational Field in Finsler-Randers Space and Raychaudhuri Equation
- Raychaudhuri equation and singularity theorems in Finsler spacetimes
- Dark energy and accelerating cosmological evolution from osculating Barthel-Kropina geometry
- Kinematics and dynamics in a Bipartite-Finsler spacetime
- Neutrino oscillations and Lorentz Invariance Violation in a Finslerian Geometrical model
- Modified Einstein and Finsler Like Theories on Tangent Lorentz Bundles
- Schwarzschild-like solutions in Finsler-Randers gravity
- Jacobi-Maupertuis Randers-Finsler metric for curved spaces and the gravitational magnetoelectric effect
- Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle
- On Fermat's principle for causal curves in time oriented Finsler spacetimes
- On the analyticity of static solutions of a field equation in Finsler gravity
- Dark Gravitational Sectors on a Generalized Scalar-Tensor Vector Bundle Model and Cosmological Applications
- Constraints on the deformation scale of a geometry in the cotangent bundle
- Applications of the Schwarzschild-Finsler-Randers model
- A field theory in Randers-Finsler spacetime
- Randers pp-waves
- Broken Scale Invariance, Gravity Mass, and Dark Energy in Modified Einstein Gravity with Two Measure Finsler Like Variables
- Gravitational Field on the Lorentz Tangent Bundle: Generalized Paths and Field Equations
- Volume forms for time orientable Finsler spacetimes
- A Riemannian approach to Randers geodesics
- Dark Gravitational Field on Riemannian and Sasaki Spacetime
Cited by in corpus (9)
- Finsler-Randers-Sasaki gravity and cosmology
- Black Hole Solutions with Constant Ricci Scalar in a Model of Finsler Gravity
- On the metrizability of -Kropina spaces with closed null 1-form
- Anisotropic Conformal Dark Gravity on the Lorentz Tangent Bundle Spacetime
- From Barthel Randers Kropina Geometries to the Accelerating Universe: A Brief Review of Recent Advances in Finslerian Cosmology
- Raychaudhuri equations, Tidal forces and Weak field Limit in Schwarzshild-Finsler-Randers spacetime
- More on Jacobi metric: Randers-Finsler metrics, frame dragging and geometrisation techniques
- Observational tests of the conformal osculating Barthel-Kropina cosmological model
- Kinetic gases in static spherically symmetric modified dispersion relations