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Title: 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 second-order relativistic theory of gravity that dynamically reduces to the Einstein-Hilbert 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 fine-tuned refinements of the current data or specified future observations.

Authors:
 [1]
  1. 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 1475-7516
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:10.1088/1475-7516/2015/11/026.
Exirifard, Qasem. Randers geometry as MOND/dark matter. United States. https://doi.org/10.1088/1475-7516/2015/11/026
Exirifard, Qasem. 2015. "Randers geometry as MOND/dark matter". United States. https://doi.org/10.1088/1475-7516/2015/11/026.
@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 second-order relativistic theory of gravity that dynamically reduces to the Einstein-Hilbert 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 fine-tuned refinements of the current data or specified future observations.},
doi = {10.1088/1475-7516/2015/11/026},
url = {https://www.osti.gov/biblio/22525182}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 11,
volume = 2015,
place = {United States},
year = {2015},
month = {11}
}