The modified Newtonian dynamics-MOND-and its implications for new physics

Abstract

No more salient issue exists in contemporary astrophysics and cosmology than that of the elusive "dark matter". For many years already Milgrom's paradigm of modified Newtonian dynamics (MOND) has provided an alternative way to interpret observations without appeal to invisible dark matter. MOND had been successful in elucidating economically the dynamics of disk galaxies of all scales, while doing less well for clusters of galaxies; in its original form it could not address gravitational lensing or cosmology. After reviewing some of the evidence in favor of MOND, I recollect the development of relativistic formulations for it to cope with the last deficiency. I comment on recent work by various groups in confronting TeVeS, a relativistic embodiment of MOND, with observational data on gravitational lensing and cosmology. Throughout I ask what sort of physics can be responsible for the efficacy of MOND, and conclude with an appraisal of what theoretical developments are still needed to reach a full description of the world involving no unobserved matter.

Pedagogical introduction to MOND and review of modern developments. To appear shortly in Contemporary Physics; LaTeX with 6 figures, 15 pages

References in corpus (49)

• Particle Dark Matter: Evidence, Candidates and Constraints
• A direct empirical proof of the existence of dark matter
• Dwarf Galaxies of the Local Group
• Stellar mass-to-light ratios and the Tully-Fisher relation
• Relativistic gravitation theory for the MOND paradigm
• Gravity with a dynamical preferred frame
• Rotation Curves of Spiral Galaxies
• Modified Newtonian Dynamics as an Alternative to Dark Matter
• Weak lensing mass reconstruction of the interacting cluster 1E0657-558: Direct evidence for the existence of dark matter
• Indication, from Pioneer 10/11, Galileo, and Ulysses Data, of an Apparent Anomalous, Weak, Long-Range Acceleration
• The Baryonic Tully-Fisher Relation of Galaxies with Extended Rotation Curves and the Stellar Mass of Rotating Galaxies
• The rapid formation a large rotating disk galaxy three billion years after the Big Bang
• Modified Newtonian Dynamics in the Milky Way
• Large Scale Structure in Bekenstein's theory of relativistic Modified Newtonian Dynamics
• Does the Fornax dwarf spheroidal have a central cusp or core?
• Dynamics with a non-standard inertia-acceleration relation: an alternative to dark matter
• Clusters of galaxies with modified Newtonian dynamics (MOND)
• The published extended rotation curves of spiral galaxies: Confrontation with Modified Dynamics
• 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"
• A stratified framework for scalar-tensor theories of Modified Dynamics
• A tensor-vector-scalar framework for modified dynamics and cosmic dark matter
• Can Cosmic Structure form without Dark Matter?
• Refining MOND interpolating function and TeVeS Lagrangian
• An extensive study of dynamical friction in dwarf galaxies: the role of stars, dark matter, halo profiles and MOND
• Can MOND take a bullet? Analytical comparisons of three versions of MOND beyond spherical symmetry
• New constraints on MOND from galaxy clusters
• Gravitational Lenses and Unconventional Gravity Theories
• The Vector-Tensor nature of Bekenstein's relativistic theory of Modified Gravity
• MOND habitats within the solar system
• Stability of disk galaxies in the modified dynamics
• Spherically symmetric, static spacetimes in a tensor-vector-scalar theory
• Testing Bekenstein's Relativistic MOND gravity with Lensing Data
• Solar system constraints on multi-field theories of modified dynamics
• How Cold Dark Matter Theory Explains Milgrom's Law
• TeVeS Cosmology : Covariant formalism for the background evolution and linear perturbation theory
• Modified-dynamics predictions agree with ovservations of the HI kinematics in faint dwarf galaxies contrary to the conclusions of Lo Sargent and Young
• Two-body relaxation in modified Newtonian dynamics
• Axisymmetric and triaxial MOND density-potential pairs
• Improved bounds on non-luminous matter in solar orbit
• What do the orbital motions of the outer planets of the Solar System tell us about the Pioneer anomaly?
• Strong lensing probability for testing TeVeS theory
• Non-linear conformally invariant generalization of the Poisson equation to D>2 dimensions
• Gravitational lensing in modified Newtonian dynamics
• Theoretical Aspects of Gravitational Lensing in TeVeS
• Does MOND follow from the CDM paradigm?
• Inflation and accelerated expansion TeVeS cosmological solutions
• The Enigma of the Dark Matter

Cited by in corpus (80)

• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• Photon and Graviton Mass Limits
• Probes and Tests of Strong-Field Gravity with Observations in the Electromagnetic Spectrum
• Quasi-linear formulation of MOND
• Bimetric MOND gravity
• Analysis of Rotation Curves in the framework of R^n gravity
• Local Group Dwarf Spheroidals: Correlated Deviations from the Baryonic Tully-Fisher Relation
• Milky Way Mass Models and MOND
• Nonlocal Gravity Simulates Dark Matter
• Generalizing TeVeS Cosmology
• Stability of spherically symmetric solutions in modified theories of gravity
• X-ray Group and cluster mass profiles in MOND: Unexplained mass on the group scale
• Are sterile neutrinos consistent with clusters, the CMB and MOND?
• Nonequivalence of equivalence principles
• A formal framework for a nonlocal generalization of Einstein's theory of gravitation
• Dwarf Spheroidals in MOND
• The MOND limit from space-time scale invariance
• MOND effects in the inner solar system
• Milky Way potentials in CDM and MOND. Is the Large Magellanic Cloud on a bound orbit?
• Declining rotation curves of galaxies as a test of gravitational theory
• Galactic rotation curves, the baryon-to-dark-halo-mass relation and space-time scale invariance
• Predictions and Outcomes for the Dynamics of Rotating Galaxies
• Rings and shells of "dark matter" as MOND artifacts
• The central surface density of "dark halos" predicted by MOND
• Preferred frame parameters in the tensor-vector-scalar theory of gravity and its generalization
• Vertical dynamics of disk galaxies in MOND
• Galaxy merging in MOND
• Loss of mass and stability of galaxies in MOND
• Recovering MOND from extended metric theories of gravity
• MOND and the mass discrepancies in tidal dwarf galaxies
• The collision velocity of the bullet cluster in conventional and modified dynamics
• Relativistic MOND as an alternative to the dark matter paradigm
• Equilibrium configurations of 11eV sterile neutrinos in MONDian galaxy clusters
• A Special Case Of A Conjecture By Widom With Implications To Fermionic Entanglement Entropy
• Marriage à-la-MOND: Baryonic dark matter in galaxy clusters and the cooling flow puzzle
• Do Newton's G and Milgrom's a_0 vary with cosmological epoch ?
• Gravitational waves and lensing of the metric theory proposed by Sobouti
• Black holes in the TeVeS theory of gravity and their thermodynamics
• A natural approach to extended Newtonian gravity: tests and predictions across astrophysical scales
• Constraining the Preferred-Frame ${\alpha }_1$, ${\alpha }_2$ parameters from Solar System planetary precessions
• Testing modified Newtonian dynamics in the Milky Way
• Understanding local Dwarf Spheroidals and their scaling relations under MOdified Newtonian Dynamics
• Globular clusters in modified Newtonian dynamics: velocity-dispersion profiles from self-consistent models
• An analytic model for non-spherical lenses in covariant MOdified Newtonian Dynamics
• The velocity distribution of SDSS satellites in MOND
• Dark Matter from a gas of wormholes
• An Elementary Canonical Classical and Quantum Dynamics for General Relativity
• X-ray clusters of galaxies in conformal gravity
• Strong lensing probability in TeVeS theory
• Methodological Reflections on the MOND/Dark Matter Debate
• Newtonian Fractional-Dimension Gravity and MOND
• Tensor-vector-scalar-modified gravity: from small scale to cosmology
• Density perturbations in the gas of wormholes
• N-body simulations for testing the stability of triaxial galaxies in MOND
• Constraints on non-Newtonian gravity and light elementary particles from measurements of the Casimir force by means of dynamic AFM
• A useful guide for gravitational wave observers to test modified gravity models
• Fourth Order Gravity, Scalar-Tensor-Vector Gravity, and Galaxy Rotation Curves
• Weak equivalence principle for self-gravitating bodies: A sieve for purely metric theories of gravity
• Restricting Fourth Order Gravity via Cosmology
• Substructure lensing in galaxy clusters as a constraint on low-mass sterile neutrinos in tensor-vector-scalar theory: The straight arc of Abell 2390
• Influences of Dark Energy and dark matter on Gravitational Time Advancement
• Galactic orbital motions in the Dark Matter, MOdified Newtonian Dynamics and MOdified Gravity scenarios
• Is Gravitational Lensing by Intercluster Filaments Always Negligible?
• How Well Do We Know the Orbits of the Outer Planets?
• Constraining models of modified gravity with the double pulsar PSR J0737-3039A/B system
• Lopsidedness of self-consistent galaxies by the external field effect of clusters
• Galaxy Rotation Curves via Conformal Factors
• A simple model for explaining Galaxy Rotation Curves
• Propagation of cosmic rays in the foam-like Universe
• Weak-field approximation of effective gravitational theory with local Galilean invariance
• Can Massive Gravity Explain the Mass Discrepancy - Acceleration Relation of Disk Galaxies?
• Born reciprocity and the 1/r potential
• Constraints on fourth order gravity from binary pulsar and gravitational waves
• Stellar structure of quark stars in a modified Starobinsky gravity
• PySCo: A fast Particle-Mesh $N$-body code for modified gravity simulations in Python
• The "Graviton Picture": a Bohr Model for Gravitation on Galactic Scales?
• Exact gravitational lensing and rotation curve
• Searching for MOND in scalar-tensor theories of gravity
• GravitoMagnetic Force in Modified Newtonian Dynamics
• Gravitational acceleration in a class of geometric sigma models