Schwarzschild-like solutions in Finsler-Randers gravity
arXiv:2006.05913 · doi:10.1140/epjc/s10052-020-08772-4
Abstract
In this work, we extend for the first time the spherically symmetric Schwarzschild and Schwarzschild-De Sitter solutions with a Finsler-Randers-type perturbation which is generated by a covector . This gives a locally anisotropic character to the metric and induces a deviation from the Riemannian models of gravity. A natural framework for this study is the Lorentz tangent bundle of a spacetime manifold. We apply the generalized field equations to the perturbed metric and derive the dynamics for the covector . Finally, we find the timelike, spacelike and null paths on the Schwarzschild-Randers spacetime, we solve the timelike ones numerically and we compare them with the classic geodesics of general relativity. The obtained solutions are new and they enrich the corresponding literature.
arXiv comment13 pages, 2 figures, to be published in EPJC
References in corpus (34)
- General Very Special Relativity is Finsler Geometry
- Riemann-Finsler geometry and Lorentz-violating kinematics
- Finsler geometric extension of Einstein gravity
- The General Very Special Relativity in Finsler Cosmology
- Resembling dark energy and modified gravity with Finsler-Randers cosmology
- Friedmann Robertson-Walker model in generalised metric space-time with weak anisotropy
- Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields
- Finsler gravity action from variational completion
- Observable effects in a class of spherically symmetric static Finsler spacetimes
- On the definition and examples of cones and Finsler spacetimes
- Light cones in Finsler spacetime
- On the interplay between Lorentzian Causality and Finsler metrics of Randers type
- 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
- Finsler Black Holes Induced by Noncommutative Anholonomic Distributions in Einstein Gravity
- Cosmology of Lorentz fiber-bundle induced scalar-tensor theories
- Finsler pp-waves
- Dynamics in Varying vacuum Finsler-Randers Cosmology
- Parametric Nonholonomic Frame Transforms and Exact Solutions in Gravity
- Weak Gravitational Field in Finsler-Randers Space and Raychaudhuri Equation
- Bounce cosmology in generalized modified gravities
- Relativistic kinetic gases as direct sources of gravity
- Raychaudhuri equation and singularity theorems in Finsler spacetimes
- Foundations of Finsler spacetimes from the Observers' Viewpoint
- Phenomenological consequences of a geometry in the cotangent bundle
- Modified Einstein and Finsler Like Theories on Tangent Lorentz Bundles
- Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle
- On General Solutions for Field Equations in Einstein and Higher Dimension Gravity
- Geodesic motion in Bogoslovsky-Finsler Spacetimes
- Gravitational Field on the Lorentz Tangent Bundle: Generalized Paths and Field Equations
- On the Finslerian extension of the Schwarzschild metric
- Black Holes, Ellipsoids, and Nonlinear Waves in Pseudo-Finsler Spaces and Einstein Gravity
Cited by in corpus (10)
- Cosmological tests of the osculating Barthel-Kropina dark energy model
- Finsler-Randers-Sasaki gravity and cosmology
- Applications of the Schwarzschild-Finsler-Randers model
- Schwarzschild-Finsler-Randers spacetime: Dynamical analysis, Geodesics and Deflection Angle
- Black Hole Solutions with Constant Ricci Scalar in a Model of Finsler Gravity
- Relativistic deformed kinematics: from flat to curved spacetimes
- 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