Applications of the Schwarzschild-Finsler-Randers model
arXiv:2111.00952 · doi:10.1140/epjc/s10052-021-09790-6
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.
arXiv comment11 pages, 6 figures, to appear in European Physical Journal C
References in corpus (51)
- General Very Special Relativity is Finsler Geometry
- Planck-scale modified dispersion relations and Finsler geometry
- Riemann-Finsler geometry and Lorentz-violating kinematics
- Finsler geometric extension of Einstein gravity
- 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
- Principles of Einstein-Finsler Gravity and Perspectives in Modern Cosmology
- Friedmann Robertson-Walker model in generalised metric space-time with weak anisotropy
- Exact solution of vacuum field equation in Finsler spacetime
- Finsler spacetime geometry in Physics
- 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
- Implications of a Stochastic Microscopic Finsler Cosmology
- Light cones in Finsler spacetime
- Modified Dispersion Relations in Horava-Lifshitz Gravity and Finsler Brane Models
- Imperfect fluids, Lorentz violations and Finsler Cosmology
- 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
- Covariant kinematics and gravitational bounce in Finsler space-times
- Cosmological Finsler Spacetimes
- 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
- Reaching the Planck scale with muon lifetime measurements
- Dynamics in Varying vacuum Finsler-Randers Cosmology
- Weak Gravitational Field in Finsler-Randers Space and Raychaudhuri Equation
- Finsler metrics and relativistic spacetimes
- Bounce cosmology in generalized modified gravities
- 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
- Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle
- Homogeneously Modified Special Relativity (HMSR) -- A new possible way to introduce an isotropic Lorentz Invariance Violation in particle Standard Model
- Geodesic motion in Bogoslovsky-Finsler Spacetimes
- On the analyticity of static solutions of a field equation in Finsler gravity
- Constraints on the deformation scale of a geometry in the cotangent bundle
- A field theory in Randers-Finsler spacetime
- Charged anisotropic strange stars in Finslerian geometry
- 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
- Predictions of Ultra-High Energy Cosmic Ray Propagation in the Context of Homogeneously Modified Special Relativity
- Killing Symmetry on Finsler Manifold