Relativistic MOND as an alternative to the dark matter paradigm

Abstract

Milgrom's Modified Newtonian dynamics (MOND) provides an efficient way to summarize phenomenology of galaxies which does not lean on the notion of dark matter; it has great predictive power. Here I briefly review MOND as well as its implementation as a nonrelativistic modified gravity theory, AQUAL. Gravitational lensing and cosmology call for a relativistic gravity theory different from general relativity if dark matter is to be avoided. In recent years such a theory, T$e$V$e$S, has emerged from the marriage of AQUAL with the timelike vector field of Sanders. I discuss its structure and some of its successes and shortcomings.

Invited talk presented at the International Conference on Particles and Nuclei (PANIC08), Eilat, Israel, November 9-14, 2008. To appear in Nuclear Physics A. 6 pages LaTeX

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• Can a non-local model of gravity reproduce Dark Matter effects in agreement with MOND?
• Non-minimally coupled dark matter: effective pressure and structure formation
• Globular clusters in modified Newtonian dynamics: velocity-dispersion profiles from self-consistent models
• Tensor-vector-scalar-modified gravity: from small scale to cosmology
• A useful guide for gravitational wave observers to test modified gravity models
• MOND cosmology from entropic force
• Self-gravitating Equilibria of Non-minimally Coupled Dark Matter Halos
• The Tully-Fisher's law and Dark Matter effects derived via modified symmetries
• Results from PAMELA, ATIC and FERMI : Pulsars or Dark Matter ?
• Mach Principle and a new theory of gravitation
• Testing QUMOND theory with Galactic globular clusters in a weak external field
• Machian gravity and a cosmology without dark matter and dark energy