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arXiv · 1202.3629

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

S. Mendoza·T. Bernal·J. C. Hidalgo·S. Capozziello
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Abstract

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.

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S. Mendoza, T. Bernal, J. C. Hidalgo, S. Capozziello. 2012-02-16. MOND as the weak-field limit of an extended metric theory of gravity. https://doi.org/10.1063/1.4734465

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