[1108.5588] Recovering MOND from extended metric theories of gravity

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

Date: 29 Aug 2011

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. We also prove that a Noether's symmetry approach to the problem yields a conserved quantity coherent with this relativistic MONDian extension.

abs pdf

Sep 09, 2011

1108.5588 (/preprints)
2011-09-09, 06:48 [edit]


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