Modified gravity without dark matter

Abstract

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

28 pages, 10 figures, lecture given at Third Aegean Summer School, The Invisible Universe: Dark Matter and Dark Energy, minor errors corrected, references updated

References in corpus (28)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• 4D Gravity on a Brane in 5D Minkowski Space
• Stellar mass-to-light ratios and the Tully-Fisher relation
• Cosmological Results from High-z Supernovae
• The Baryonic Tully-Fisher Relation
• Modified Newtonian Dynamics as an Alternative to Dark Matter
• Constraints on Cosmological Models from Hubble Space Telescope Observations of High-z Supernovae
• Indication, from Pioneer 10/11, Galileo, and Ulysses Data, of an Apparent Anomalous, Weak, Long-Range Acceleration
• The Confrontation between General Relativity and Experiment
• Substructures in Cold Dark Matter Haloes
• Dynamics with a non-standard inertia-acceleration relation: an alternative to dark matter
• Clusters of galaxies with modified Newtonian dynamics (MOND)
• The Modified Dynamics as a Vacuum Effect
• Testing the Hypothesis of Modified Dynamics with Low Surface Brightness Galaxies and Other Evidence
• MOND and the "Dearth of Dark Matter in Ordinary Elliptical Galaxies"
• Resolving the virial discrepancy in clusters of galaxies with modified Newtonian dynamics
• A stratified framework for scalar-tensor theories of Modified Dynamics
• A tensor-vector-scalar framework for modified dynamics and cosmic dark matter
• Rotation curves of UMa galaxies in the context of modified Newtonian dynamics
• Refining MOND interpolating function and TeVeS Lagrangian
• Gravitational Lenses and Unconventional Gravity Theories
• Problems for MOND in Clusters and the Ly-alpha Forest
• Spherically symmetric, static spacetimes in a tensor-vector-scalar theory
• The fundamental plane of elliptical galaxies with modified Newtonian dynamics
• A generic problem with purely metric formulations of MOND
• Are there hyperentropic objects ?

Cited by in corpus (16)

• Fundamental Theoretical Bias in Gravitational Wave Astrophysics and the Parameterized Post-Einsteinian Framework
• Galaxies as simple dynamical systems: observational data disfavor dark matter and stochastic star formation
• Wormhole solutions in symmetric teleparallel gravity
• The Pioneer Anomaly
• MOND effects in the inner solar system
• Eddington-Born-Infeld action for dark energy and dark matter
• Asymmetrical tidal tails of open star clusters: stars crossing their cluster's prah challenge Newtonian gravitation
• Renormalization group scale-setting in astrophysical systems
• Aether scalar tensor theory: Linear stability on Minkowski space
• Strong lensing probability in TeVeS theory
• Minisuperspace Quantum Cosmology in Metric and Affine Theories of Gravity
• Probing regular MOG static spherically symmetric spacetime using greybody factors and quasinormal modes
• Cosmology of the Galileon extension of Bekenstein's theory of relativistic Modified Newtonian Dynamics
• No need for dark-matter, dark-energy or inflation, once ordinary matter is properly represented?
• Renzo's rule revisited: A statistical study of galaxies' baryon - dark matter coupling
• Black holes and their horizons in semiclassical and modified theories of gravity