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When dealing with galactic dynamics, or more specifically, with galactic rotation curves, one basic assumption is always taken: the frame of reference relative to which the rotational velocities are given is assumed to be inertial. In other…

Astrophysics of Galaxies · Physics 2021-05-25 Roy Gomel , Tomer Zimmerman

It was recently shown that in cosmology the gravitational action of faraway matter has quite relevant effects, if retardation of the forces and discreteness of matter (with its spatial correlation) are taken into account. Indeed, far matter…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-28 A. Carati

The behavior of the angular velocity of a test particle moving in a stable circular orbit in the vacuum on the brane is considered. In the brane world scenario, the four dimensional effective Einstein equation acquire extra terms, called…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. G. Boehmer , T. Harko

Dark matter, a conjectured substance not directly observable but which has tremendous mass, was proposed to explain why galaxies hold together and rotate faster at their edges than predicted by Newton's Inverse Square (1/r2) Law of Gravity.…

Astrophysics of Galaxies · Physics 2013-05-30 Martin Wen-Yu Lo

Since its publication 1983, Milgromian dynamics (aka MOND) has been very successful in modeling the gravitational potential of galaxies from baryonic matter alone. However, the dynamical modeling has long been an unsolved issue. In…

Astrophysics of Galaxies · Physics 2016-06-21 Ingo Thies , Pavel Kroupa , Benoit Famaey

Recent observations of ultra-dwarf galaxy NGC1052-DF2 started an interesting discussion between dark matter hypothesis and modified gravity theories. Reported low velocity dispersion (< 10.5 km/s at 90% confidence level) derived from the…

General Relativity and Quantum Cosmology · Physics 2019-12-10 Tousif Islam , Koushik Dutta

A better understanding of the formation of mass structures in the universe can be obtained by determining the amount and distribution of dark and luminous matter in spiral galaxies. To investigate such matters a sample of 12 galaxies, most…

Astrophysics of Galaxies · Physics 2015-06-23 Roelof Bottema , Jose Luis G. Pestana

It has been suggested that the observed flat rotation curves of disk galaxies can be a peculiar effect of General Relativity (GR) rather than evidence for the presence of dark matter (DM) halos in Newtonian gravity. In Ciotti (2022) the…

Astrophysics of Galaxies · Physics 2023-04-14 Luca Ciotti

We propose a Machian model of gravitational interaction at galactic scales to explain the rotation curves of these large structures without the need for dark matter or MOND.

Astrophysics of Galaxies · Physics 2009-07-20 F. Darabi

Disc galaxies represent a promising laboratory for the study of gravitational physics, including alternatives to dark matter, owing to the possibility of coupling rotation curves' dynamical data with strong gravitational lensing…

Astrophysics of Galaxies · Physics 2025-05-28 Christopher Harvey-Hawes , Marco Galoppo

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…

Astrophysics · Physics 2009-11-13 Jacob D. Bekenstein

We continue our analysis of Newtonian Fractional-Dimension Gravity, an extension of the standard laws of Newtonian gravity to lower dimensional spaces including those with fractional (i.e., non-integer) dimension. We apply our model to…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Gabriele U. Varieschi

The dark matter constraint imposed by the recent WMAP experiment on gravitational theories is analyzed. Using the non-linearity of the vacuum Einstein's equations, it is shown that when the slow motion condition is applied to the geodesic…

Astrophysics · Physics 2007-05-23 M. D. Maia , A. J. S. Capistrano , D. Mulller

The dark matter (DM) haloes around spiral galaxies appear to conspire with their baryonic content: empirically, significant amounts of DM are inferred only below a universal characteristic acceleration scale. Moreover, the discrepancy…

Astrophysics of Galaxies · Physics 2016-07-27 Joachim Janz , Michele Cappellari , Aaron J. Romanowsky , Luca Ciotti , Adebusola Alabi , Duncan A. Forbes

Recent work on the mass distribution in spiral galaxies, using mainly HI observations, is reviewed. The principal problem is still to determine to what extent the dark matter is important in the inner parts of a galaxy, or in other words,…

Astrophysics · Physics 2007-05-23 A. Bosma

The rotation curves of low surface brightness galaxies provide a unique data set with which to test alternative theories of gravitation over a large dynamic range in size, mass, surface density, and acceleration. Many clearly fail,…

Astrophysics · Physics 2015-06-24 Stacy McGaugh , Erwin de Blok

Owing to the renewed interest in dark matter after the upgrade of the large hadron collider and its dedication to dark matter research it is timely to reassess the whole problem. Considering dark matter is one way to reconcile the…

Astrophysics of Galaxies · Physics 2018-02-06 Werner A. Hofer

Galactic disks lie at the heart of many of the most pressing astrophysical puzzles. There are sophisticated kinetic theories that describe some aspects of galaxy disk dynamics, but extracting quantitative predictions from those theories has…

Astrophysics of Galaxies · Physics 2025-12-09 Chris Hamilton , Shaunak Modak , Scott Tremaine

A review is given of a priori predictions made for the dynamics of rotating galaxies. One theory - MOND - has had many predictions corroborated by subsequent observations. While it is sometimes possible to offer post hoc explanations for…

Astrophysics of Galaxies · Physics 2020-05-01 Stacy McGaugh

Dark matter is estimated to make up ~84% of all normal/baryonic matter, but cannot be directly imaged. Despite the fact that dark matter cannot be directly observed yet, its influence on the motion of stars and gas in spiral galaxies have…

Physics Education · Physics 2023-08-10 A. N. Villano , Kitty C. Harris , Judit Bergfalk , Raphael Hatami , Francis Vititoe , Julia Johnston