The observed dynamics of gas and stars on galactic and larger scales cannot be accounted for by self-gravity, indicating that there are large quantities of unseen matter, or that gravity is non-Newtonian in these regimes. Milgrom’s MOdified Newtonian Dynamics (MOND) postulates that Newton’s laws are modified at very low acceleration, and can account for the rotation curves of galaxies and some ...

The cluster of galaxies MS2137-23 presents the most constrained lensing configuration of gravitational images ever detected in a distant cluster of galaxies. With a set of two arc systems with known redshifts and many other arclets spread between ≈ 30 h−1 kpc and 1 h−1 Mpc, MS2137-27 is well suited to probe its mass profile and to challenge theoretical expectations from CDM scenario with more s...

We summarize the status of Modified Newtonian Dynamics (MOND) in galaxy clusters. The observed acceleration is typically larger than the acceleration threshold of MOND in the central regions, implying that some dark matter is necessary to explain the mass discrepancy there. A plausible resolution of this issue is that the unseen mass in MOND is in the form of ordinary neutrinos with masses just...

To test modified Newtonian dynamics (MOND) on galactic scales, we study six strong gravitational lensing early-type galaxies from the CASTLES sample. Comparing the total mass (from lensing) with the stellar mass content (from a comparison of photometry and stellar population synthesis), we conclude that strong gravitational lensing on galactic scales requires a significant amount of dark matter...

We propose to determine the stellar velocity dispersions of globular clusters in the outer halo of the Milky Way in order to decide whether the dynamics of the Universe on large scales is governed by dark matter or modified Newtonian dynamics (MOND). We show that, for a number of Galactic globular clusters, both the internal and the external accelerations are significantly below the critical ac...

A naive extension to MOND of the standard computation of the two-body relaxation time t2b implies that t2b is comparable to the crossing time regardless of the number N of stars in the system. This computation is questionable in view of the non-linearity of MOND’s field equation. A non-standard approach to the calculation of t2b is developed that can be extended to MOND whenever discreteness no...

I briefly highlight the salient properties of modified-inertia formulations of MOND, contrasting them with those of modified-gravity formulations, which describe practically all theories propounded to date. Future data (e.g. the establishment of the Pioneer anomaly as a new physics phenomenon) may prefer one of these broad classes of theories over the other. I also outline some possible startin...