Randers geometry as MOND/dark matter
Abstract
We consider a deviation of the physical length from the Riemann geometry toward the Randers'. We construct a consistent secondorder relativistic theory of gravity that dynamically reduces to the EinsteinHilbert theory for the strong and Newtonian gravity while its weak gravitational regime reproduces MOND and the gravitational lensing attributed to the dark matter halo. It also naturally accommodates the observed value of the cosmological constant. We show that it predicts a few percent deviation for the post Newtonian parameter γ in a part of the regime that interpolates the Newtonian regime to the MOND regime. The deviation is consistent with the reported observations but can possibly be detected by finetuned refinements of the current data or specified future observations.
 Authors:

 Institute for Research in Fundamental Sciences (IPM), Tehran (Iran, Islamic Republic of)
 Publication Date:
 OSTI Identifier:
 22525182
 Resource Type:
 Journal Article
 Journal Name:
 Journal of Cosmology and Astroparticle Physics
 Additional Journal Information:
 Journal Volume: 2015; Journal Issue: 11; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 14757516
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COSMOLOGICAL CONSTANT; COSMOLOGY; GEOMETRY; GRAVITATION; GRAVITATIONAL LENSES; NONLUMINOUS MATTER; RELATIVISTIC RANGE; RIEMANN SPACE
Citation Formats
Exirifard, Qasem. Randers geometry as MOND/dark matter. United States: N. p., 2015.
Web. doi:10.1088/14757516/2015/11/026.
Exirifard, Qasem. Randers geometry as MOND/dark matter. United States. https://doi.org/10.1088/14757516/2015/11/026
Exirifard, Qasem. 2015.
"Randers geometry as MOND/dark matter". United States. https://doi.org/10.1088/14757516/2015/11/026.
@article{osti_22525182,
title = {Randers geometry as MOND/dark matter},
author = {Exirifard, Qasem},
abstractNote = {We consider a deviation of the physical length from the Riemann geometry toward the Randers'. We construct a consistent secondorder relativistic theory of gravity that dynamically reduces to the EinsteinHilbert theory for the strong and Newtonian gravity while its weak gravitational regime reproduces MOND and the gravitational lensing attributed to the dark matter halo. It also naturally accommodates the observed value of the cosmological constant. We show that it predicts a few percent deviation for the post Newtonian parameter γ in a part of the regime that interpolates the Newtonian regime to the MOND regime. The deviation is consistent with the reported observations but can possibly be detected by finetuned refinements of the current data or specified future observations.},
doi = {10.1088/14757516/2015/11/026},
url = {https://www.osti.gov/biblio/22525182},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {14757516},
number = 11,
volume = 2015,
place = {United States},
year = {2015},
month = {11}
}