Cosmological Difficulties with Modified Newtonian Dynamics (or: La Fin du MOND?)

Abstract

The cold dark matter paradigm has been extremely successful for explaining a wide range of cosmological phenomena. Nevertheless, since evidence for non-baryonic dark matter remains indirect, all reasonable alternatives should be explored. One proposed idea, involving a fundamental acceleration scale a_0 = 1-2e-10 m/s^2, is called MOdified Newtonian Dynamics or MOND. MOND was suggested to explain the flat rotation curves of galaxies without the need for dark matter. Whether or not it can adequately fit the available data has been debated for almost 20 years (and we summarise many of these studies), but only recently have there been attempts to extend MOND to larger scale regimes. We discuss how the basic properties of MOND make it at best ambiguous to apply these ideas to cosmological scales. We emphasize the difficulties inherent in developing a full theory in which to embed MOND. Without such a theory there is no obviously consistent way to discuss the early Universe and the growth of perturbations. Recent claims that MONDian cosmology works very well are therefore not supportable. We also provide an argument for why a_0~cH_0 naturally, a coincidence which is often suggested as a motivation for taking MOND seriously. We discuss other alternative theories of gravity concluding, as others have, that no metric theory extensions appear workable for explaining rotation curves as well as other observed phenomena. The whole premise of many of these attempts is fatally flawed - galaxies are not pre-selected, discrete, isolated regions which formed monolithically and around which one can construct an axially-symmetric dynamical model in order to remove the need for dark matter. In the modern view, galaxies are part of a dynamic continuum of objects which collectively make up the evolving large-scale structure of the universe.