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

2009/01/08 by Zhe Chang, Xin Li · 2 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Astrophysics #Biology #Classical mechanics #Computer science #Cosmology #Cosmology and Gravitation Theories #Dark energy #Finsler manifold #Friedmann equations #Geodesic #Geometry #Gravitation #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Space (punctuation) #Type (biology) #gr-qc

paper · pdf · doi:10.1016/j.physletb.2009.05.001

published as Phys.Lett.B676:173-176,2009

arxiv created 2009/01/08 · openalex publication_date 2009/05/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• An Introduction to Riemann-Finsler Geometry
• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis
• Very Special Relativity
• Modified Newton's gravity in Finsler space as a possible alternative to dark matter hypothesis
• On an Asymmetrical Metric in the Four-Space of General Relativity
• General very special relativity is Finsler geometry

Cited by

• Critical Remarks on Finsler Modifications of Gravity and Cosmology by Zhe Chang and Xin Li
• Finsler branes and quantum gravity phenomenology with Lorentz symmetry violations

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