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

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Abstract.

In this article we construct a relativistic extended metric theory of gravity, for which its weak field limit reduces to the non-relativistic MOdified Newtonian Dynamics regime of gravity. The theory is fully covariant and local. The way to achieve this is by introducing torsion in the description of gravity as well as with the addition of a particular function of the matter Lagrangian into the gravitational action.

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Authors and Affiliations

  1. Instituto de Astronomıa, Universidad Nacional Autónoma de México, AP 70-264, 04510, Ciudad de México, Mexico

    E. Barrientos & S. Mendoza

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  1. E. Barrientos
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  2. S. Mendoza
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Correspondence to E. Barrientos.

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Barrientos, E., Mendoza, S. MOND as the weak field limit of an extended metric theory of gravity with torsion. Eur. Phys. J. Plus 132, 361 (2017). https://doi.org/10.1140/epjp/i2017-11642-2

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