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Reconstruction of the local velocity field from the overdensity field and a gravitational acceleration that falls off from a point mass as r^-2 yields velocities in broad agreement with peculiar velocities measured with galaxy distance…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-11 Jeremy Mould , Matthew Colless , Pirin Erdogdu , Heath Jones , John Lucey , Yin-Zhe Ma , Christina Magoulas , Christopher M Springob

I review various ideas on MOND cosmology and structure formation beginning with non-relativistic models in analogy with Newtonian cosmology. I discuss relativistic MOND cosmology in the context of Bekenstein's theory and propose an…

Astrophysics · Physics 2009-11-11 R. H. Sanders

The competition between CDM and MOND to account for the `missing mass' phenomena is asymmetric. MOND has clearly demonstrated that a characteristic acceleration $a_0$ underlies the data and understanding what gives rise to $a_0$ is an…

Astrophysics · Physics 2007-05-23 James Binney

General Relativity is able to describe the dynamics of galaxies and larger cosmic structures only if most of the matter in the Universe is dark, namely it does not emit any electromagnetic radiation. Intriguingly, on the scale of galaxies,…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-28 Antonaldo Diaferio , Garry W. Angus

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

Earlier comparisons of galatic rotation curves with MOND have arrived at the conclusion that the parameter a_0 lies within ~20% of cH_0/2\pi, where c is the velocity of light and H_0 is the Hubble constant. It is proposed here that, for…

General Physics · Physics 2014-07-08 D. V. Bugg

Scaling relations for the mass, angular momentum and other properties of a wide range of self-similar structures in the universe are seen to have universal features. As a consequence of the ideas elaborated in earlier papers these relations…

Astrophysics · Physics 2008-01-09 C Sivaram

The MOND limit is shown to follow from a requirement of space-time scale invariance of the equations of motion for nonrelativistic, purely gravitational systems; i.e., invariance of the equations of motion under (t,r) goes to (qt,qr), in…

Astrophysics · Physics 2010-05-05 Mordehai Milgrom

Intermediate-richness galaxy groups are an important test ground for MOND. First, they constitute a distinct type of galactic systems, with their own evolution histories and underlying physical processes; secondly, they probe…

Astrophysics of Galaxies · Physics 2019-02-22 Mordehai Milgrom

We show that the Milgromian acceleration of MOND and the cosmological constant can be understood and quantified as the effects of quantum fluctuations of spin connection which are described by precanonical quantum gravity put forward by one…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Igor V. Kanatchikov , Valery A. Kholodnyi

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

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

The Radial Acceleration Relation confirms that a nontrivial acceleration scale can be found in the average internal dynamics of galaxies. The existence of such a scale is not obvious as far as the standard cosmological model is concerned,…

Astrophysics of Galaxies · Physics 2018-07-31 Davi C. Rodrigues , Valerio Marra , Antonino del Popolo , Zahra Davari

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 and…

General Physics · Physics 2013-06-25 D. V. Bugg

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 propose to determine the stellar velocity dispersions of globular clusters in the outer halo of the Milky Way in order to decide whether the dynamics of the universe on large scales is governed by dark matter or modified Newtonian…

Astrophysics · Physics 2009-11-10 H. Baumgardt , E. K. Grebel , P. Kroupa

The present work is devoted to study the dynamical evolution of the galaxies in scalar-GaussBonnet gravity in relationship with the MOND paradigm. This study is useful for giving meaning to the presence of a new gravitational constant. The…

General Relativity and Quantum Cosmology · Physics 2022-01-19 M. Bousder

The cold dark matter paradigm has been extremely successful for explaining a wide range of cosmological phenomena. Nevertheless, since evidence for non-baryonic dark matter remains indirect, all reasonable alternatives should be explored.…

Astrophysics · Physics 2007-05-23 Douglas Scott , Martin White , Joanne D. Cohn , Elena Pierpaoli

Modern data is showing increasing evidence that the Universe is accelerating. So far, all attempts to account for the acceleration have required some fundamental dimensionless quantities to be extremely small. We show how a class of scalar…

Astrophysics · Physics 2010-04-08 Andreas Albrecht , Constantinos Skordis

The discrepancies between recently reported experimental values of the gravitational constant were analysed within an inertia interpretation of MOND theory. According to this scenario the relative gravitational acceleration between a test…

General Relativity and Quantum Cosmology · Physics 2016-10-31 Norbert Klein