Modified Newton's gravity in Finsler space as a possible alternative to dark matter hypothesis

2008/06/30 by Zhe Chang, Xin Li · 7 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Radio Astronomy Observations and Technology #gr-qc

paper · pdf · doi:10.1016/j.physletb.2008.09.010

published as Phys.Lett.B668:453-456,2008 · some changes have been added, to be published in Phy. Lett. B

openalex publication_date 2008/09/11 · arxiv created 2008/09/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A modified Newton's gravity is obtained as the weak field approximation of the Einstein's equation in Finsler space. It is found that a specified Finsler structure makes the modified Newton's gravity equivalent to the modified Newtonian dynamics (MOND). In the framework of Finsler geometry, the flat rotation curves of spiral galaxies can be deduced naturally without invoking dark matter.

Citations

• A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis

Cited by

• Critical Remarks on Finsler Modifications of Gravity and Cosmology by Zhe Chang and Xin Li
• Equations of motion for dynamical systems with angular momentum on Finsler geometries
• Finsler geometric extension of Einstein gravity
• Fine structure constant variation or spacetime anisotropy?
• Modified Friedmann model in Randers–Finsler space of approximate Berwald type as a possible alternative to dark energy hypothesis
• Finslerian MOND versus observations of Bullet Cluster 1E 0657−558
• Finsler branes and quantum gravity phenomenology with Lorentz symmetry violations

Related

• Finsler geometry as a model for relativistic gravity
• Cosmological Difficulties with Modified Newtonian Dynamics (or: La Fin du MOND?)
• Alternatives to Dark Matter (?)
• Modified Gravitational Theory and Galaxy Rotation Curves
• Modified Friedmann model in Randers–Finsler space of approximate Berwald type as a possible alternative to dark energy hypothesis