MOND as the weak-field limit of an extended metric theory of gravity

Feb, 2012
4 pages
Published in:
  • AIP Conf.Proc. 1458 (2012) 1, 483-486
Contribution to:
  • Published: Jul 6, 2012
e-Print:

Citations per year

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Abstract: (arXiv)
We show that the Modified Newtonian Dynamics (MOND) regime can be fully recovered as the weak-field limit of a particular theory of gravity formulated in the metric approach. This is possible when Milgrom's acceleration constant is taken as a fundamental quantity which couples to the theory in a very consistent manner. As a consequence, the scale invariance of the gravitational interaction is naturally broken. In this sense, Newtonian gravity is the weak-field limit of general relativity and MOND is the weak-field limit of that particular extended theory of gravity.
Note:
  • To appear in the proceedings of the 2011 Spanish Relativity Meeting (ERE2011) held in Madrid, Spain, 4 pages
  • 04.20.-q
  • 04.50.Kd
  • general relativity
  • gravitation
  • gravitation: interaction
  • weak field
  • MOND
  • general relativity
  • relativity theory
  • acceleration