Effects of spacetime anisotropy on the galaxy rotation curves

Abstract

The observations on galaxy rotation curves show significant discrepancies from the Newtonian theory. This issue could be explained by the effect of the anisotropy of the spacetime. Conversely, the spacetime anisotropy could also be constrained by the galaxy rotation curves. Finsler geometry is a kind of intrinsically anisotropic geometry. In this paper, we study the effect of the spacetime anisotropy at the galactic scales in the Finsler spacetime. It is found that the Finslerian model has close relations with the Milgrom's MOND. By performing the best-fit procedure to the galaxy rotation curves, we find that the anisotropic effects of the spacetime become significant when the Newtonian acceleration \(GM/r^2\) is smaller than the critical acceleration \(a_0\). Interestingly, the critical acceleration \(a_0\), although varies between different galaxies, is in the order of magnitude \(cH_0/2π\sim 10^{-10} \rm{m\,\, s^{-2}}\).

15 pages, 2 figures, 2 tables

References in corpus (18)

• Quantum Gravity at a Lifshitz Point
• High-Resolution Rotation Curves and Galaxy Mass Models from THINGS
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Inflationary Universe with Anisotropic Hair
• General Very Special Relativity is Finsler Geometry
• Planck-scale modified dispersion relations and Finsler geometry
• Riemann-Finsler geometry and Lorentz-violating kinematics
• On the Proof of Dark Matter, the Law of Gravity and the Mass of Neutrinos
• The General Very Special Relativity in Finsler Cosmology
• Can MOND take a bullet? Analytical comparisons of three versions of MOND beyond spherical symmetry
• Model for gravity at large distances
• Lorentz Violating Inflation
• The necessity of dark matter in MOND within galactic scales
• Incompatibility of Rotation Curves with Gravitational Lensing for TeVeS
• Galaxies Rotation Curves in the Grumiller's Modified Gravity
• Finslerian MOND vs. observations of Bullet Cluster 1E0657-558
• Lorentz invariance violation and electromagnetic field in an intrinsically anisotropic spacetime
• Testing modified gravity at large distances with the HI Nearby Galaxy Survey's rotation curves

Cited by in corpus (9)

• The Dark Matter Profiles in the Milky Way
• Anisotropic Models for Globular Clusters, Galactic Bulges and Dark Halos
• Is there a fundamental acceleration scale in galaxies?
• Searching for a cosmological preferred direction with 147 rotationally supported galaxies
• Searching for a possible dipole anisotropy on acceleration scale with 147 rotationally supported galaxies
• Cosmic magnetization in curved and Lorentz violating space-times
• Affine sphere spacetimes which satisfy the relativity principle
• The modified Newtonian dynamics with an extra anti-dissipation term can yield the MOND model
• Finslerian MOND versus the Strong Gravitational Lensing of the Early-type Galaxies