Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recovering MOND from extended metric theories of gravity   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.

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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg