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The dynamics of galaxies in an expanding universe is often determined for gravitational and dark matter in an Einstein-de Sitter universe, or alternatively by modifying the gravitational long-range attractions in the Newtonian dynamics…

Astrophysics of Galaxies · Physics 2022-10-20 Søren Toxvaerd

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

Observations of galaxies suggest a one-to-one analytic relation between the inferred gravity of dark matter at any radius and the enclosed baryonic mass, a relation summarized by Milgrom's law of modified Newtonian dynamics (MOND). However,…

Astrophysics · Physics 2009-11-13 Jean-Philippe Bruneton , Stefano Liberati , Lorenzo Sindoni , Benoit Famaey

We consider a self-gravitating collisionless gas where the gravitational interaction is modeled according to MOND (modified Newtonian dynamics). For the resulting modified Vlasov-Poisson system we establish the existence of spherically…

Mathematical Physics · Physics 2013-12-17 Gerhard Rein

We present detailed semi-analytical models for the formation of disk galaxies both in a Universe dominated by dark matter (DM), and in one for which the force law is given by modified Newtonian dynamics (MOND). We tune the models to fit the…

Astrophysics · Physics 2009-10-31 Frank C. van den Bosch , Julianne J. Dalcanton

Modified Newtonian Dynamics (MOND) is a possible solution for the missing mass problem in galactic dynamics; its predictions are in good agreement with observations in the limit of weak accelerations. However, MOND does not derive from a…

Astrophysics of Galaxies · Physics 2017-01-18 Sascha Trippe

In this work, we propose a modified Newton dynamics (MOND) model to study the rotation curves of galaxies. The model is described by an arctangent interpolating function and it fits the rotation curves of several galaxies without invoking…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Ana C. M. Ciqueira , Geanderson A. Carvalho , Paulo H. Faccin , Fabrício T. Dalmolin

Modified Newtonian Dynamics (MOND) is an alternative to the dark matter hypothesis that attempts to explain the "missing gravity" problem in astrophysics and cosmology through a modification to objects' dynamics. Since its conception in…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-29 Harry Desmond

We discuss a comparison of models for the formation of disk galaxies both in a Universe dominated by cold dark matter (CDM) and one in which the force law is given by modified Newtonian dynamics (MOND). Our main aim is to address the claim…

Astrophysics · Physics 2007-05-23 Frank C. van den Bosch , Julianne J. Dalcanton

The observed flat rotation curves of galaxies are among a number of astrophysical phenomena which require a larger acceleration than can be provided by the Newtonian gravity of the detected baryons. The main proposed solutions are…

Astrophysics of Galaxies · Physics 2021-09-10 Indranil Banik , Charalambos Pittordis , Will Sutherland

I describe how the dynamics of galactic disks can be inferred by imaging and spectroscopy. Next I demonstrate that the decomposition of the rotation curves of spiral galaxies into the contributions by the various components of the galaxies…

Astrophysics · Physics 2009-11-13 B. Fuchs

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

We Consider models of thin disks (with and without bulges) in the Bekenstein-Milgrom formulation of MOND as a modification of Newtonian gravity. Analytic solutions are found for the full gravitational fields of Kuzmin disks, and of…

Astrophysics · Physics 2007-05-23 R. Brada , M. Milgrom

We present MORDOR (MORphological DecOmposeR, a new algorithm for structural decomposition of simulated galaxies based on stellar kinematics. The code measures the properties of up to five structural components (a thin/cold and a thick/warm…

Modified Newtonian dynamics (MOND) is a promising alternative to dark matter. To further test the theory, there is a need for fluid- and particle-dynamics simulations. The force in MOND is not a direct particle-particle interaction, but…

Astrophysics of Galaxies · Physics 2023-12-06 P. M. Visser , S. W. H. Eijt , J. V. de Nijs

(doctoral thesis of Michal Bilek, finished on June 19, 2015) MOND is an observational rule for predicting the acceleration of stars and galaxies from the distribution of the visible matter. It possibly stems from a new law of physics. I…

Astrophysics of Galaxies · Physics 2016-01-07 Michal Bílek

Modified Newtonian dynamics (MOND) is a possible way to explain the flat galaxy rotation curves without invoking the existence of dark matter. It is however quite difficult to predict such a phenomenology in a consistent field theory, free…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Jean-Philippe Bruneton , Gilles Esposito-Farese

We use our Modified Newtonian Dynamics (MOND) cosmological particle-mesh N-body code to investigate the feasibility of structure formation in a framework involving MOND and light sterile neutrinos in the mass range 11 - 300 eV: always…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Garry W. Angus , Antonaldo Diaferio , Benoit Famaey , Kurt J. van der Heyden

The Bekenstein-Milgrom gravity theory with a modified Poisson equation is tested here for the existence of triaxial equilibrium solutions. Using the non-negative least square method, we show that self-consistent triaxial galaxies exist for…

Astrophysics · Physics 2008-04-13 You-gang Wang , Xufen Wu , HongSheng Zhao

In this article we continue to test cosmological models centred on Modified Newtonian Dynamics (MOND) with light sterile neutrinos, which could in principle be a way to solve the fine-tuning problems of the standard model on galaxy scales…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Garry W. Angus , Antonaldo Diaferio , Benoit Famaey , Kurt J. van der Heyden