On an empirical level, the most successful alternative to dark matter in bound gravitational systems is the modified Newtonian dynamics, or MOND, proposed by Milgrom. Here I discuss the attempts to formulate MOND as a modification of General Relativity. I begin with a summary of the phenomenological successes of MOND and then discuss the various covariant theories that have been proposed as a basis for the idea. I show why these proposals have led inevitably to a multi-field theory. I describe in some detail TeVeS, the tensor-vector-scalar theory proposed by Bekenstein, and discuss its successes and shortcomings. This lecture is primarily pedagogical and directed to those with some, but not a deep, background in General Relativity. © 2007 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Sanders, R. (2007). Modified gravity without dark matter. Lecture Notes in Physics, 720, 375–402. https://doi.org/10.1007/978-3-540-71013-4_13
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