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We review galaxy formation and dynamics under the MOND hypothesis of modified gravity, and compare to similar galaxies in Newtonian dynamics with dark matter. The aim is to find peculiar predictions both to discriminate between various…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 F. Combes , O. Tiret

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

Despite the success of dark-matter models, unresolved issues require exploring alternatives such as modified gravity theories. In this context, we examine the compatibility of the Hyperconical Modified Gravity (HMG) with galaxy rotation…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-24 Robert Monjo

Dark matter is the generally accepted paradigm in astrophysics and cosmology as a solution to the higher rate of rotation in galaxies, among many other reasons. But since there are still some problems encountered by the standard dark matter…

Astrophysics of Galaxies · Physics 2021-02-24 Hanna A. Sabat , Raed Z. Bani-Abdoh , Marwan S. Mousa

Dwarf and low surface brightness galaxies are ideal objects to test modified Newtonian dynamics (MOND), because in most of these galaxies the accelerations fall below the threshold below where MOND supposedly applies. We have selected from…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 R. A. Swaters , R. H. Sanders , S. S. McGaugh

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

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

We compare six models (including the baryonic model, two dark matter models, two modified Newtonian dynamics models and one modified gravity model) in accounting for the galaxy rotation curves. For the dark matter models, we assume NFW…

General Relativity and Quantum Cosmology · Physics 2017-05-10 Xin Li , Li Tang , Hai-Nan Lin

A sample of 22 spiral galaxy rotation curves, measured in the 21 cm line of neutral hydrogen, is considered in the context of Milgrom's modified dynamics (MOND). Combined with the previous highly selected sample of Begeman et al. (1990),…

Astrophysics · Physics 2009-10-28 R. H. Sanders

The stability of galaxies is either explained by the existence of dark matter or caused by a modification of Newtonian acceleration (MOND). Here we show that the modification of the Newtonian dynamics can equally well be obtained by a…

Astrophysics of Galaxies · Physics 2024-04-24 Søren Toxvaerd

This paper investigates the potential of Machian Gravity (MG), a five-dimensional theory of gravity, to explain the acceleration law governing rotationally bound systems, in particular spiral galaxies. MG was proposed as a framework capable…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-08 Santanu Das

The N-body dark matter (DM) simulations point that DM density profiles, e.g. the NFW halo, should be cuspy in its center, but observations disfavour this kind of DM profile. Here we consider whether the observed rotation curves "close" to…

Astrophysics of Galaxies · Physics 2014-11-04 Davi C. Rodrigues , Paulo L. de Oliveira , Julio C. Fabris , Gianfranco Gentile

Modified gravity theories such as Modified Newtonian Dynamics (MOND) and Scalar-Tensor-Vector Gravity (STVG) have been proposed as alternatives to dark matter, but decisive tests have been hindered by degeneracies between baryonic structure…

Astrophysics of Galaxies · Physics 2026-05-12 Zheng-long Wang , Yue-Lin Sming Tsai , Lan Zhang , Yin Wu , Haining Li , Xiang-Xiang Xue , Hongsheng Zhao , Yi-Zhong Fan

The rotation curves and the relative mass distributions of the two nearby Local Group spiral galaxies, M31 and M33, show discrepancies with Modified Newtonian dynamic (MOND) predictions. In M33 the discrepancy lies in the kinematics of the…

Astrophysics · Physics 2008-11-26 Edvige Corbelli , Paolo Salucci

Conformal geometry is considered within a general relativistic framework. An invariant distant for proper time is defined and a parallel displacement is applied in the distorted space-time, modifying Einstein's equation appropriately. A…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Edmund A. Chadwick , Timothy F. Hodgkinson , Graham S. McDonald

Modified gravity (MG) theories aim to reproduce the observed acceleration of the Universe by reducing the dark sector while simultaneously recovering General Relativity (GR) within dense environments. Void studies appear to be a suitable…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-27 E L D Perico , R Voivodic , M Lima , D F Mota

We compare N-body simulations of isolated galaxies performed in both frameworks of modified Newtonian dynamics (MOND) and Newtonian gravity with dark matter (DM). We have developed a multigrid code able to efficiently solve the modified…

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

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

The discrepancy between two recently reported experimental values of the gravitational constant G was analysed within a differential version of MOND theory. In contrast to the most commonly accepted interpretation of MOND theory, it is…

General Relativity and Quantum Cosmology · Physics 2016-04-14 Norbert Klein

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