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A new relativistic formulation of MOND is advanced, involving two metrics as independent degrees of freedom: the MOND metric g_mn, to which alone matter couples, and an auxiliary metric g*_mn. The main idea hinges on the fact that we can…

General Relativity and Quantum Cosmology · Physics 2010-05-05 Mordehai Milgrom

Dwarf galaxies have long been recognised as important testing grounds for models of dark matter. For instance, it is here where the cusp-core problem is most apparent. In this work we select two dwarf galaxy samples: LITTLE THINGS and dwarf…

Astrophysics of Galaxies · Physics 2026-05-27 Geoff Beck

Two hypothesized solutions of the mass discrepancy problem are cold dark matter (CDM) and modified Newtonian dynamics (MOND). The virtues and vices of these very different hypotheses are largely disjoint, making the process of…

Astrophysics · Physics 2009-10-31 Stacy S. McGaugh

Modified Newtonian dynamics (MOND) is an empirically motivated modification of Newtonian gravity or inertia suggested by Milgrom as an alternative to cosmic dark matter. The basic idea is that at accelerations below a0 ~ 10^{-8} cm/s^2 ~…

Astrophysics · Physics 2009-11-07 Robert H. Sanders , Stacy S. McGaugh

I limelight and review a potentially crucial aspect of MOND: The near equality of the MOND acceleration constant, $a_0$ -- as deduced from local, galactic phenomena -- and cosmological parameters. To wit, $a_0\sim c H_0\sim…

Astrophysics of Galaxies · Physics 2020-01-28 Mordehai Milgrom

Aniyan et al. (2018) have recently published direct measurements of the baryonic mass distribution and the rotation curve of the almost-face-on disc galaxy NGC 628. While its very low inclination makes this galaxy anything but ideal for…

Astrophysics of Galaxies · Physics 2018-02-15 Mordehai Milgrom

The tight radial acceleration relation (RAR) obeyed by rotationally supported disk galaxies is one of the most successful a priori predictions of the modified Newtonian dynamics (MOND) paradigm on galaxy scales. Another important…

Astrophysics of Galaxies · Physics 2022-02-02 J. Freundlich , B. Famaey , P. -A. Oria , M. Bílek , O. Müller , R. Ibata

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 an alternative to the dark matter hypothesis that attempts to explain the "missing gravity" problem in astrophysics and cosmology through a modification to objects' dynamics. Since its conception in…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-29 Harry Desmond

Survival of high-energy cosmic rays (HECRs) against gravitational Cherenkov losses is shown not to cast strong constraints on MOND theories that are compatible with general relativity (GR): theories that coincide with GR in the…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-23 Mordehai Milgrom

Recent observations of rotationally supported galaxies show a tight correlation between the observed radial acceleration at every radius and the Newtonian acceleration generated by the baryonic mass distribution, the so-called radial…

Astrophysics of Galaxies · Physics 2019-07-04 Amir Ghari , Hosein Haghi , Akram Hasani Zonoozi

This paper introduces a possible alternative model of gravity based on the theory of fractional-dimension spaces and its applications to Newtonian gravity. In particular, Gauss's law for gravity as well as other fundamental classical laws…

General Relativity and Quantum Cosmology · Physics 2021-02-09 Gabriele U. Varieschi

MOND has limelighted the fact that Newtonian dynamics (ND) and general relativity (GR) have not been verified at accelerations below MOND's $a_0$. In particular, we do not know that all the principles underlying ND or GR apply below $a_0$.…

General Relativity and Quantum Cosmology · Physics 2019-10-22 Mordehai Milgrom

A novel interpretation of MOND is presented. For galactic data, in addition to Newtonian acceleration, there is an attractive acceleration peaking at Milgrom's parameter a_0. The peak lies within experimental error where a_0 = cH_0/2\pi;…

General Physics · Physics 2015-06-15 D. V. Bugg

We consider for the first time the implications on the modified gravity MOND model of galaxies, of the presence of dark baryons, under the form of cold molecular gas in galaxy discs. We show that MOND models of rotation curves are still…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-13 O. Tiret , F. Combes

We extend the MOND analysis to a sample of 17 high surface brightness, early-type disc galaxies with rotation curves derived from a combination of 21cm HI line observations and optical spectroscopic data. A number of these galaxies have…

Astrophysics · Physics 2008-11-26 R. H. Sanders , E. Noordermeer

Astrophysical data analysis of the weak-field predictions support the claim that modified gravity (MOG) theories provide a self-consistent, scale-invariant, universal description of galaxy rotation curves, without the need of non-baryonic…

Astrophysics of Galaxies · Physics 2009-08-09 J. R. Brownstein

It is well known that the Milgrom's MOND (modified Newtonian dynamics) explains well the mass discrepancy problem in galaxy rotation curves. The MOND predicts a universal acceleration scale below which the Newtonian dynamics is invalid yet.…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-26 Yong Zhou , Zhi-Chao Zhao , Zhe Chang

Keller and Wadsley (2016) have smugly suggested, recently, that the end of MOND may be in view. This is based on their claim that their highly-restricted sample of $\Lambda$CDM-simulated galaxies are "consistent" with the observed MOND…

Astrophysics of Galaxies · Physics 2016-10-25 Mordehai Milgrom

Modified gravity models often contain modes that couple to normal matter and propagate with slightly less than the speed of light. High-energy cosmic rays then lose energy due to Cherenkov radiation, which constrains such models. This is…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Tobias Mistele