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Milgrom's modified Newtonian dynamics (MOND) can explain well the mass discrepancy problem in galaxy without invoking dark matter. The MOND theory predicts a universal constant acceleration scale in galaxy, below which the Newtonian…

Astrophysics of Galaxies · Physics 2019-04-18 Zhe Chang , Yong Zhou

The Radial Acceleration Relation (RAR) shows a strong correlation between two accelerations associated to galaxy rotation curves. The relation between these accelerations is given by a nonlinear function which depends on an acceleration…

Astrophysics of Galaxies · Physics 2020-05-12 Valerio Marra , Davi C. Rodrigues , Álefe O. F. de Almeida

Recently, many studies seem to reveal the existence of some correlations between dark matter and baryonic matter. In particular, the unexpected tight Radial Acceleration Relation (RAR) discovered in rotating galaxies has caught much…

Astrophysics of Galaxies · Physics 2022-12-07 Man Ho Chan , Shantanu Desai , Antonino Del Popolo

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

Recently, the discovery of the radial acceleration relation (RAR) in galaxies has been regarded as an indirect support of alternative theories of gravity such as Modified Newtonian Dynamics (MOND) and modified gravity. This relation…

Astrophysics of Galaxies · Physics 2020-04-15 Man Ho Chan , Antonino Del Popolo

We review some of our recent results about the Radial Acceleration Relation (RAR) and its interpretation as either a fundamental or an emergent law. The former interpretation is in agreement with a class of modified gravity theories that…

General Relativity and Quantum Cosmology · Physics 2021-07-01 Davi C. Rodrigues , Valerio Marra

The irrefutable successes of MOND are predicated upon the idea that a critical gravitational acceleration scale, $a_0$, exists. But, beyond its role in MOND, the question: 'Why should a critical gravitational acceleration scale exist at…

Astrophysics of Galaxies · Physics 2022-02-15 David Roscoe

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 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

Galaxies have been observed to exhibit a level of simplicity unexpected in the complex galaxy formation scenario posited by standard cosmology. This is particularly apparent in their dynamics, where scaling relations display much regularity…

Astrophysics of Galaxies · Physics 2024-02-21 Richard Stiskalek , Harry Desmond

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

Dark matter phenomena in rotationally supported galaxies exhibit a characteristic acceleration scale of $g_\dagger \approx 1.2\times 10^{-10}$ m s$^{-2}$. Whether this acceleration is a manifestation of a universal scale, or merely an…

Astrophysics of Galaxies · Physics 2020-11-18 Kyu-Hyun Chae , Mariangela Bernardi , Helena Dominguez Sanchez , Ravi K. Sheth

Galaxies follow a tight radial acceleration relation (RAR): the acceleration observed at every radius correlates with that expected from the distribution of baryons. We use the Markov Chain Monte Carlo method to fit the mean RAR to 175…

Astrophysics of Galaxies · Physics 2018-07-04 Pengfei Li , Federico Lelli , Stacy S. McGaugh , James M. Schombert

Velocities in stable circular orbits about galaxies, a measure of centripetal gravitation, exceed the expected Kepler/Newton velocity as orbital radius increases. Standard LCDM attributes this anomaly to galactic dark matter. McGaugh et al…

Astrophysics of Galaxies · Physics 2018-07-11 R. K. Nesbet

General relativity (GR) is the most successful theory of gravity, with great observational support on local scales. However, to keep GR valid over cosmic scales, some phenomena (such as flat galaxy rotation curves and the cosmic expansion…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-12 Robert Monjo , Indranil Banik

Galactic systems, and the Universe at large, exhibit large dynamical anomalies: The observed matter in them falls very short of providing enough gravity to account for their dynamics. The mainstream response to this conundrum is to invoke…

Astrophysics of Galaxies · Physics 2017-07-25 Mordehai Milgrom

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

Most galaxies closely follow the radial acceleration relation (RAR), which tightly links the observed accelerations to those predicted by Newtonian gravity from visible baryonic matter. Galaxy clusters, however, deviate from this relation.…

Astrophysics of Galaxies · Physics 2026-03-26 Michal Bílek , Florent Renaud , Srdjan Samurović

I describe the MOND paradigm, which posits a departure from standard physics below a certain acceleration scale. This acceleration as deduced from the dynamics in galaxies is found mysteriously to agree with the cosmic acceleration scales…

Cosmology and Nongalactic Astrophysics · Physics 2010-10-11 Mordehai Milgrom

In the past few decades, many studies revealed that there exist some apparent universal relations which can describe the dynamical properties in galaxies. In particular, the radial acceleration relation (RAR) is one of the most popular…

Astrophysics of Galaxies · Physics 2024-01-17 Man Ho Chan
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