"Modified Newtonian Dynamics (MOND):
Observational Phenomenology and Relativistic Extensions"
by
Benoît Famaey and Stacy S. McGaugh
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Abstract
1
Introduction
2
The Missing Mass Problem in a Nutshell
3
A Brief Overview of the
CDM Cosmological Model
3.1
Dark Energy (
)
3.2
Cold Dark Matter (CDM)
4
Some Challenges for the
CDM Model
4.1
Coincidences
4.2
Unobserved predictions
4.3
Unpredicted observations
5
Milgrom’s Empirical Law and “Kepler Laws” of Galactic Dynamics
5.1
Milgrom’s law and the dielectric analogy
5.2
Galactic Kepler-like laws of motion
6
Milgrom’s Law as a Modification of Classical Dynamics: MOND
6.1
Modified inertia or modified gravity: Non-relativistic actions
6.2
The interpolating function
6.3
The external field effect
6.4
MOND in the solar system
6.5
MOND in rotationally-supported stellar systems
6.6
MOND in pressure-supported stellar systems
7
Relativistic MOND Theories
7.1
Scalar-tensor k-essence
7.2
Stratified theory
7.3
Original Tensor-Vector-Scalar theory
7.4
Generalized Tensor-Vector-Scalar theory
7.5
Bi-Scalar-Tensor-Vector theory
7.6
Non-minimal scalar-tensor formalism
7.7
Generalized Einstein-Aether theories
7.8
Bimetric theories
7.9
Dipolar dark matter
7.10
Non-local theories and other ideas
8
Gravitational Lensing in Relativistic MOND
8.1
Strong lensing by galaxies
8.2
Weak lensing by galaxies
8.3
Strong and weak lensing by galaxy clusters
8.4
Weak lensing by large-scale structure
9
MOND and Cosmology
9.1
Expansion history
9.2
Large-scale structure and Cosmic Microwave Background
10
Summary and Discussion
11
Acknowledgements
References
Footnotes
Figures
Tables