1202.3629 (S. Mendoza et al.)

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

S. Mendoza, T. Bernal, J. C. Hidalgo, S. Capozziello

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.

View original: http://arxiv.org/abs/1202.3629