The standard model for dark matter (coined cold-dark-matter) is extremely successful at large cosmological scales. However, when extrapolated at the smaller scales of galaxies, it faces a number of severe challenges. Dark matter at these scales is better explained by MOND (MOdified Newtonian Dynamics) which originally supposes a violation of the Newtonian law of gravity without dark matter. In this talk we first show that the phenomenology of MOND could result from dark matter, but endowed by a certain type of gravitational dipole moments polarized in the gravitational field of ordinary matter.
We propose a model for describing the dipolar dark matter in general relativity and we show that such dark matter reproduces the standard cold dark matter at large scales. In the second part of the talk we discuss the possibility of testing MOND using the dynamics of planets of the Solar System. Advances in science tend to split research fields into specialized sub-fields, creating a lack of communication and collaboration which often slows down scientific progress. It is now more true than ever that interdisciplinary collaborations are often not only desirable, but required to lead projects to success.