An alternative to the dark matter paradigm: relativistic MOND gravitation

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MOND, invented by Milgrom, is a phenomenological scheme whose basic premise is that the visible matter distribution in a galaxy or cluster of galaxies alone determines its dynamics. MOND fits many observations surprisingly well. Could it be that there is no dark matter in these systems and we witness rather a violation of Newton's universal gravity law ? If so, Einstein's general relativity would also be violated. For long conceptual problems have prevented construction of a consistent relativistic substitute which does not obviously run afoul of the facts. Here I sketch TeVeS, a tensor-vector-scalar field theory which seems to fit the bill: it has no obvious conceptual problems and has a MOND and Newtonian limits under the proper circumstances. It also passes the elementary solar system tests of gravity theory.
18 pages, invited talk at the 28th Johns Hopkins Workshop on Current Problems in Particle Theory, June 2004, Johns Hopkins University, Baltimore. Corrections to Sec.7 for error pointed out by D. Giannios. To appear online in JHEP Proceedings of Science

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