Modified Newtonian Dynamics and Dark Matter from a Generalized Gravitational Theory

Authors: Juan Ramón González Álvarez

Vast amounts of data clearly demonstrate discrepancies between the observed dynamics, in large astronomical systems, and the predicted dynamics by Newtonian gravity and general relativity. The appearance of these discrepancies has two possible explanations: either these systems contain large quantities of a new kind of unseen matter −the Dark Matter (DM)− or the gravitational law has to be modified at this scale −as in MOdified Newtonian Dynamics (MOND)−. This dichotomy is not entirely new in the history of physics, with DM playing now the role of the old non-existent Vulcan planet.

We have shown how both (i) the MONDian form and (ii) Milgrom acceleration follow from an extended theory of gravity −characterized by a new kind of gravitational potentials hμν(R(t))−, which (iii) was initially aimed to solve those deficiencies of general relativity shared with classical electrodynamics −and that were previously solved with new electromagnetic potentials Φ(R(t)) and A(R(t))−. We also show (iv) how the modified equation of motion can be cast into ordinary form, when an fictitious distribution of DM matter is added to the real mass. From our definition of DM, we obtain (v) the main properties traditionally attributed to it, in excellent agreement with the DM literature. Finally, (vi) we discuss further avenues of research opened by this new paradigm.

Comments: 9 Pages.

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Submission history

[v1] 2011-12-26 15:45:48

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