Modified Friedmann model in Randers-Finsler space of approximate Berwald type as a possible alternative to dark energy hypothesis

Abstract

Gravitational field equations in Randers-Finsler space of approximate Berwald type are investigated. A modified Friedmann model is proposed. It is showed that the accelerated expanding universe is guaranteed by a constrained Randers-Finsler structure without invoking dark energy. The geodesic in Randers-Finsler space is studied. The additional term in the geodesic equation acts as repulsive force against the gravity.

References in corpus (6)

• Very Special Relativity
• General Very Special Relativity is Finsler Geometry
• Friedmann Robertson-Walker model in generalised metric space-time with weak anisotropy
• Modified Newton's gravity in Finsler Space as a possible alternative to dark matter hypothesis
• Lorentz Invariance Violation and Symmetry in Randers--Finsler Spaces
• Cosmological Acceleration: Dark Energy or Modified Gravity?

Cited by in corpus (12)

• The Finslerian wormhole models
• Critical Remarks on Finsler Modifications of Gravity and Cosmology by Zhe Chang and Xin Li
• Bi-metric pseudo-Finslerian spacetimes
• Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle
• Finsler gravitational waves of $(\alpha ,\beta )$-type and their observational signature
• A Cosmological Unicorn Solution to Finsler Gravity
• Finslerian extension of an anisotropic strange star in the domain of modified gravity
• Lorentz Violation in Finsler Geometry
• Aspects of General Relativity: Pseudo-Finsler extensions, Quasi-normal frequencies and Multiplication of tensorial distributions
• Neutrino superluminality without Cherenkov-like processes in Finslerian special relativity
• Particle motion and scattering in Finslerian Schwarzschild metric
• Physics in a general length space-time geometry: Call for experimental revision of the light speed anisotropy