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2012

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

Mendoza, S., Bernal, T., Hidalgo, J. C. et al.

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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.

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

Built on

Y. Sobouti, Astronomy & Astrophysics,
2007
Earlier work this paper cites.
S. Mendoza and Y. M.Rosas-Guevara, Astronomy & Astrophysics (2007)
2007
Earlier work this paper cites.

Similar

S. Capozziello and V. Faraoni, Beyond Einstein Gravity: A Survey of Gravitational Theories for Cosmology and Astrophysics, Springer,(2010) ISBN 9789400701649
2010
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S. Mendoza, X. Hernandez, J. C. Hidalgo and T. Bernal, Mon. Not. Roy. Astron. Soc
2011
Cited alongside, same era.

Then

T. Bernal, S. Capozziello, J.C. Hidalgo and S. Mendoza, European Physical Journal C
2011
Later among the works it cites.
T. Harko, F. S.N. Lobo, S. Nojiri and S. D. Odintsov, Phys.Rev.D (2011) 84:024020
2011
Later among the works it cites.

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