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“School of Physic”

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Paper   IPM / Physic / 14122
School of Physics
  Title:   Randers geometry as MOND/dark matter
  Author(s):  Q. Exirifard
  Status:   Published
  Journal: JCAP
  Vol.:  11
  Year:  2015
  Pages:   026
  Supported by:  IPM
  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.

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