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

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arxiv 1202.3629 v1 pith:UX7OPQ2W submitted 2012-02-16 gr-qc astro-ph.CO

S. Mendoza , T. Bernal , J.C. Hidalgo , S. Capozziello This is my paper · ORCID
classification gr-qcastro-ph.CO
keywords gravitylimittheoryweak-fieldmondextendedmetricnewtonian
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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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