Eur. Phys. J. Plus (2017) 132: 361
https://doi.org/10.1140/epjp/i2017-11642-2

Regular Article

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

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

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Received: 22 March 2017
Accepted: 7 July 2017
Published online: 25 August 2017

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.