Cosmological Finsler Spacetimes
arXiv:2003.02299 · doi:10.3390/universe6050065
Abstract
Applying the cosmological principle to Finsler spacetimes, we identify the Lie Algebra of symmetry generators of spatially homogeneous and isotropic Finsler geometries, thus generalising Friedmann-Lemaître-Robertson-Walker geometry. In particular, we find the most general spatially homogeneous and isotropic Berwald spacetimes, which are Finsler spacetimes that can be regarded as closest to pseudo-Riemannian geometry. They are defined by a Finsler Lagrangian built from a zero-homogeneous function on the tangent bundle, which encodes the velocity dependence of the Finsler Lagrangian in a very specific way. The obtained cosmological Berwald geometries are candidates for the description of the geometry of the universe, when they are obtained as solutions from a Finsler gravity equation.
arXiv comment14 pages, contribution to the Special Issue "Finsler Modification of Classical General Relativity" in the Journal Universe
References in corpus (21)
- Dynamics of dark energy
- The Cosmological Constant and Dark Energy
- Non-Baryonic Dark Matter - Observational Evidence and Detection Methods
- General Very Special Relativity is Finsler Geometry
- Riemann-Finsler geometry and Lorentz-violating kinematics
- Finsler geometric extension of Einstein gravity
- Finsler gravity action from variational completion
- Finsler spacetime geometry in Physics
- Finsler geometry as a model for relativistic gravity
- Metric-affine Geometries With Spherical Symmetry
- Finsler-Randers Cosmology: dynamical analysis and growth of matter perturbations
- Geodesics and the magnitude-redshift relation on cosmologically symmetric Finsler spacetimes
- Cosmology of Lorentz fiber-bundle induced scalar-tensor theories
- Berwald spacetimes and very special relativity
- Bounce cosmology in generalized modified gravities
- Relativistic kinetic gases as direct sources of gravity
- Foundations of Finsler spacetimes from the Observers' Viewpoint
- Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle
- Redshift in Finsler spacetimes
- On the non metrizability of Berwald Finsler spacetimes
- On singular generalized Berwald spacetimes and the equivalence principle
Cited by in corpus (30)
- Cosmological evolution and dark energy in osculating Barthel-Randers geometry
- Mathematical foundations for field theories on Finsler spacetimes
- Cosmological tests of the osculating Barthel-Kropina dark energy model
- Dark energy and accelerating cosmological evolution from osculating Barthel-Kropina geometry
- Foundations of Finsler spacetimes from the Observers' Viewpoint
- 3+1 Formulation of the Standard-Model Extension Gravity Sector
- Schwarzschild-like solutions in Finsler-Randers gravity
- Finsler-Randers-Sasaki gravity and cosmology
- Lorentz-violation-induced arrival time delay of astroparticles in Finsler spacetime
- The kinetic gas universe
- Dark Gravitational Sectors on a Generalized Scalar-Tensor Vector Bundle Model and Cosmological Applications
- Applications of the Schwarzschild-Finsler-Randers model
- Randers pp-waves
- Broken Scale Invariance, Gravity Mass, and Dark Energy in Modified Einstein Gravity with Two Measure Finsler Like Variables
- Identifying Berwald Finsler Geometries
- Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
- A Cosmological Unicorn Solution to Finsler Gravity
- Four-dimensional SO(3)-spherically symmetric Berwald Finsler spaces
- On the metrizability of -Kropina spaces with closed null 1-form
- Geometry of weighted Lorentz-Finsler manifolds II: A splitting theorem
- Cosmological Landsberg Finsler spacetimes
- From Barthel Randers Kropina Geometries to the Accelerating Universe: A Brief Review of Recent Advances in Finslerian Cosmology
- Multimetric Finsler Geometry
- Raychaudhuri equations, Tidal forces and Weak field Limit in Schwarzshild-Finsler-Randers spacetime
- Trajectories of astroparticles in pseudo-Finsler spacetime with the most general modified dispersion
- On the significance of the stress-energy tensor in Finsler spacetimes
- From kinetic gases to an exponentially expanding universe - The Finsler-Friedmann equation
- The Derivation of Phase-Space Metric in a Geometric Quantization Approach: General Relativity with Quantized Phase-Space Metric and Relative Spacetime
- Kinetic gases in static spherically symmetric modified dispersion relations
- Finslerian geometrodynamics