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We present results derived from a high-resolution cosmological N-body simulation in which the equations of motion have been changed to account for MOdified Newtonian Dynamics (MOND). It is shown that a low-Omega0 MONDian model with an…

Astrophysics · Physics 2007-05-23 Alexander Knebe

An important and useful relation is known to hold in two specific MOND theories. It pertains to low-acceleration, isolated systems of pointlike masses, m_p, at positions r_p, subject to gravitational forces F_p. It reads sum_p…

General Relativity and Quantum Cosmology · Physics 2014-01-17 Mordehai Milgrom

We consider the feasibility of testing Newtonian gravity at low accelerations using wide binary (WB) stars separated by $\ge 3$ kAU. These systems probe the accelerations at which galaxy rotation curves unexpectedly flatline, possibly due…

Astrophysics of Galaxies · Physics 2020-04-07 Indranil Banik , Hongsheng Zhao

The modified Newtonian dynamics (MOND), suggested by Milgrom as an alternative to dark matter, implies that isothermal spheres with a fixed anisotropy parameter should exhibit a near perfect relation between the mass and the fourth power of…

Astrophysics · Physics 2009-10-31 R. H. Sanders

LISA Pathfinder is a science and technology demonstrator of the European Space Agency within the framework of its LISA mission, which aims to be the first space-borne gravitational wave observatory. The payload of LISA Pathfinder is the…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Marc Diaz-Aguilo , Alberto Lobo , Enrique García-Berro

The LCDM concordance cosmological model is supported by a wealth of observational evidence, particularly on large scales. At galactic scales, however, the model is poorly constrained and recent observations suggest a more complex behaviour…

Astrophysics of Galaxies · Physics 2015-06-23 G. N. Candlish , R. Smith , M. Fellhauer

The motion of satellite galaxies around normal galaxies at distances 50-500 kpc provides a sensitive test for the theories. We study the surface density and the velocities of satellites around isolated galaxies in the Sloan Digital Sky…

Astrophysics · Physics 2009-01-16 A. Klypin , F. Prada

Wide-binary stars, separated by thousands of AU, reside in low-acceleration regimes where Modified Newtonian Dynamics (MOND) predicts deviation from Newtonian gravity. However, Gaia radial velocities (RVs) lack the precision to resolve the…

Solar and Stellar Astrophysics · Physics 2025-12-23 Serat Mahmud Saad , Yuan-Sen Ting

Galaxy groups, which have hardly been looked at in MOND, afford probing the acceleration discrepancies in regions of system-parameter space that are not accessible in well-studied galactic systems, such as galaxies, galaxy clusters, and…

Astrophysics of Galaxies · Physics 2018-12-04 Mordehai Milgrom

We study SU($N$) spin systems that mimic the behavior of particles in $N$-dimensional de Sitter space for $N=2,3$. Their Hamiltonians describe a dynamical system with hyperbolic fixed points, leading to emergent quasinormal modes at the…

High Energy Physics - Theory · Physics 2025-09-03 Sergio E. Aguilar-Gutierrez , Yichao Fu , Kuntal Pal , Klaas Parmentier

We propose a new approach to test possible corrections to Newtonian gravity using solar physics. The high accuracy of current solar models and new precise observations allow one to constrain corrections to standard gravity at unprecedented…

Solar and Stellar Astrophysics · Physics 2011-12-30 Jordi Casanellas , Paolo Pani , Ilídio Lopes , Vitor Cardoso

The modified Newtonian dynamics (MOND) has been proposed as an alternative to the dark matter paradigm; the philosophy behind is that there is no dark matter and we witness a violation of the Newtonian law of dynamics. In this article, we…

Astrophysics · Physics 2009-01-22 Luc Blanchet

MOND is a phenomenological modification of Newton's law of gravitation which reproduces the dynamics of galaxies, without the need for additional dark matter. This paper reviews the basics of MOND and its application to dwarf galaxies. MOND…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Arthur Kosowsky

Models of "modified-inertia" formulation of MOND are described and applied to nonrelativistic many-body systems. They involve time-nonlocal equations of motion. Momentum, angular momentum, and energy are (nonlocally) defined, whose total…

Astrophysics of Galaxies · Physics 2022-10-03 Mordehai Milgrom

In the modified dynamics (MOND) the inner workings of dwarf satellites can be greatly affected by their mother galaxy-over and beyond its tidal effects. Because of MOND's nonlinearity a system's internal dynamics can be altered by an…

Astrophysics · Physics 2009-10-31 Rafael Brada , Mordehai Milgrom

All existing treatments of bimetric MOND (BIMOND) -- a class of relativistic versions of MOND -- have dealt with a rather restricted sub-class: The Lagrangian of the interaction between the gravitational degrees of freedom -- the two…

General Relativity and Quantum Cosmology · Physics 2025-10-24 Mordehai Milgrom

We investigate the consequences of Birkhoff's theorem in general relativity (GR) and in Modified Newtonian dynamics (MOND). We study, in particular, the system of a finite-mass test particle inside a spherical shell. In both GR and MOND, we…

Astrophysics · Physics 2010-04-06 De-Chang Dai , Reijiro Matsuo , Glenn Starkman

We have carried out a search for gas-rich dwarf galaxies that have lower rotation velocities in their outskirts than MOdified Newtonian Dynamics (MOND) predicts, so that the amplitude of their rotation curves cannot be fitted by arbitrarily…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 F. J. Sanchez-Salcedo , A. M. Hidalgo-Gamez , Eric E. Martinez-Garcia

We deal with a Yukawa-like long-range modified model of gravity (MOG) which recently allowed to successfully accommodate many astrophysical and cosmological features without resorting to dark matter. On Solar System scales MOG predicts…

General Relativity and Quantum Cosmology · Physics 2008-11-20 Lorenzo Iorio

We have recently discovered that the modified dynamics (MOND) implies some universal upper bound on the acceleration that can be contributed by a `dark halo'--assumed in a Newtonian analysis to account for the effects of MOND. Not…

Astrophysics · Physics 2011-02-11 Rafael Brada , Mordehai Milgrom