Finslerian MOND versus observations of Bullet Cluster 1E 0657−558

2012/09/30 by Xin Li, Ming-Hua Li, Hai-Nan Lin +1
Physics and Astronomy · #Advanced Differential Geometry Research #Astrophysics #Astrophysics and Cosmic Phenomena #Circular symmetry #Classical mechanics #Cosmology and Gravitation Theories #Gravitation #Gravitational field #Mathematical physics #Physics #Quadrupole #Quantum mechanics #Schwarzschild radius #astro-ph.CO #astro-ph.GA #gr-qc

paper · pdf · doi:10.1093/mnras/sts237

published as Mon. Not. Roy. Astron. Soc. 430, 450 (2013) · 15 pages, 8 figures

openalex publication_date 2012/11/14 · arxiv created 2013/03/03 · arxiv updated 2013/03/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

It is known that theory of MOND with spherical symmetry cannot account for the convergence κ-map of Bullet Cluster 1E0657-558. In this paper, we try to set up a Finslerian MOND, a generalization of MOND in Finsler spacetime. We use Ric=0 to obtain the gravitational vacuum field equation in a four-dimensional Finsler spacetime. To leading order in the post-Newtonian approximation, we obtain the explicit form of the Finslerian line element. It is simply the Schwarzschild's metric except for the Finslerian rescaling coefficient f(v) of the radial coordinate r, i.e. R=f(v(r))r. By setting f(v(r))=(1-√(a₀r²/GM))^-1, we obtain the famous MOND in a Finslerian framework. Taking a dipole and a quadrupole term into consideration, we give the convergence κ in gravitational lensing astrophysics in our model. Numerical analysis shows that our prediction is to a certain extent in agreement with the observations of Bullet Cluster 1E0657-558. With the theoretical temperature T taking the observed value 14.8 keV, the mass density profile of the main cluster obtained in our model is the same order as that given by the best-fit King β-model.

Citations

• Pair Creation Constrains Superluminal Neutrino Propagation
• A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis
• Finsler geometric extension of Einstein gravity
• Modified Newton's gravity in Finsler space as a possible alternative to dark matter hypothesis
• Catching a bullet: direct evidence for the existence of dark matter
• A direct empirical proof of the existence of dark matter
• HIGH-RESOLUTION ROTATION CURVES AND GALAXY MASS MODELS FROM THINGS
• The Bullet Cluster 1E0657-558 evidence shows modified gravity in the absence of dark matter
• Gravity, Lorentz violation, and the standard model
• A Textbook Example of a Bow Shock in the Merging Galaxy Cluster 1E 0657-56