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This chapter presents Modified Newtonian Dynamics (MOND), the proposal that, below a certain acceleration scale $a_0$, dynamics departs from the Newtonian expectation. In that context, the determining factor for the emergence of apparent…

Astrophysics of Galaxies · Physics 2025-01-29 Benoit Famaey , Amel Durakovic

Milgrom has proposed that the appearance of discrepancies between the Newtonian dynamical mass and the directly observable mass in astronomical systems could be due to a breakdown of Newtonian dynamics in the limit of low accelerations…

Astrophysics · Physics 2007-05-23 R. H. Sanders

There are many hot discussions in the literature about two competing paradigms in galactic and extra-galactic astronomy and cosmology, namely the Dark Matter and the Modified Newtonian Dynamics (MOND). It is very difficult to challenge MOND…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-27 Alexey Golovnev , Natalia Masalaeva

The modified newtonian dynamics (MOND) paradigm of Milgrom can boast of a number of successful predictions regarding galactic dynamics; these are made without the assumption that dark matter plays a significant role. MOND requires…

Astrophysics · Physics 2014-10-13 Jacob D. Bekenstein

Modified Newtonian Dynamics (MOND) is a possible solution for the missing mass problem in galactic dynamics; its predictions are in good agreement with observations in the limit of weak accelerations. However, MOND does not derive from a…

Astrophysics of Galaxies · Physics 2017-01-18 Sascha Trippe

A general account of MOND theory is given. I start with the basic tenets of MOND, which posit departure from standard dynamics in the limit of low acceleration -- below an acceleration constant a0 -- where dynamics become scale invariant. I…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-16 Mordehai Milgrom

We review some recent proposals for relativistic models of dark matter in the context of bimetric gravity. The aim is to solve the problems of cold dark matter (CDM) at galactic scales, and to reproduce the phenomenology of the modified…

General Relativity and Quantum Cosmology · Physics 2015-07-13 Laura Bernard , Luc Blanchet , Lavinia Heisenberg

Milgrom's Modified Newtonian dynamics (MOND) provides an efficient way to summarize phenomenology of galaxies which does not lean on the notion of dark matter; it has great predictive power. Here I briefly review MOND as well as its…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-22 Jacob D. Bekenstein

After reviewing the modified Newtonian dynamics (MOND) proposal, we advocate that the associated phenomenology may actually not result from a modification of Newtonian gravity, but from a mechanism of "gravitational polarization" of some…

Astrophysics · Physics 2008-07-09 Luc Blanchet , Alexandre Le Tiec

We investigate particle laws of motion derived from nonstandard kinetic actions of a special form. We are guided by a phenomenological scheme--the modified dynamics (MOND)--that imputes the mass discrepancy observed in galactic systems to a…

Astrophysics · Physics 2008-11-26 M. Milgrom

We propose a relativistic model of dark matter reproducing at once the concordance cosmological model $\Lambda$-Cold-Dark-Matter ($\Lambda$-CDM) at cosmological scales, and the phenomenology of the modified Newtonian dynamics (MOND) at…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Laura Bernard , Luc Blanchet

A new class of modified gravity theories, made possible by subtle features of the canonical formulation of general covariance, naturally allows MOND-like behavior (MOdified Newtonian Dynamics) in effective space-time solutions without…

General Relativity and Quantum Cosmology · Physics 2023-11-01 Martin Bojowald , Erick I. Duque

MOdified Newtonian dynamics (MOND) represents a phenomenological alternative to dark matter (DM) for the missing mass problem in galaxies and clusters of galaxies. We analyze the central regions of a local sample of $\sim 220$ early-type…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 C. Tortora , A. J. Romanowsky , V. F. Cardone , N. R. Napolitano , Ph. Jetzer

I show that Modified Newtonian Dynamics (MOND) is equivalent to assuming an isothermal dark matter density profile, with its density related to the enclosed total baryonic mass. This density profile can be deduced by physical laws if a dark…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Man Ho Chan

Modified Newtonian Dynamics (MoND) is an empirically modification of Newtonian gravity at largest scales in order to explain rotation curves of galaxies, as an alternative to nonbaryonic dark matter. But MoND theories can hardly connect…

Cosmology and Nongalactic Astrophysics · Physics 2010-07-21 Nelson Falcon

MOND predicts a number of laws that galactic systems should obey irrespective of their complicated, haphazard, and mostly unknowable histories -- as Kepler's laws are obeyed by planetary systems. The main purpose of this work is to show…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-24 Mordehai Milgrom

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…

Astrophysics · Physics 2008-11-26 R. H. Sanders

By the time, in 1937, the Swiss astronomer Zwicky measured the velocity dispersion of the Coma cluster of galaxies, astronomers somehow got acquainted with the idea that the universe is filled by some kind of dark matter. After almost a…

Astrophysics · Physics 2009-11-11 Riccardo Scarpa

I review briefly different aspects of the MOND paradigm, with emphasis on phenomenology, epitomized here by many MOND laws of galactic motion--analogous to Kepler's laws of planetary motion. I then comment on the possible roots of MOND in…

Astrophysics · Physics 2008-03-10 Mordehai Milgrom

Modified Newtonian Dynamics (MOND) is one of the most popular alternative theories of dark matter to explain the missing mass problem in galaxies. Although it remains controversial regarding MOND as a fundamental theory, MOND phenomenology…

Astrophysics of Galaxies · Physics 2023-10-25 Man Ho Chan , Ka Chung Law