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Related papers: A Derivation of Modified Newtonian Dynamics

200 papers

We compare N-body simulations performed in MOND with analogs in Newtonian gravity with dark matter (DM). We have developed a code which solves the Poisson equation in both gravity models. It is a grid solver using adaptive mesh refinement…

Astrophysics · Physics 2007-12-11 O. Tiret , F. Combes

It was recently proposed that the effects usually attributed to particle dark matter on galaxy scales are due to the displacement of dark energy by baryonic matter, a paradigm known as emergent gravity. This formalism leads to predictions…

Astrophysics of Galaxies · Physics 2017-03-22 Aurelien Hees , Benoit Famaey , Gianfranco Bertone

MOND, invented by Milgrom, is a phenomenological scheme whose basic premise is that the visible matter distribution in a galaxy or cluster of galaxies alone determines its dynamics. MOND fits many observations surprisingly well. Could it be…

Astrophysics · Physics 2007-05-23 Jacob D. Bekenstein

We propose a relativistic model of dark matter reproducing at once the concordance cosmological model $\Lambda$-Cold-Dark-Matter ($\Lambda$-CDM) at cosmological scales, and the phenomenology of the modified Newtonian dynamics (MOND) at…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Laura Bernard , Luc Blanchet

We present a new test of modified Newtonian dynamics (MOND) on galactic scales, based on the escape speed in the solar neighbourhood. This test is independent from other empirical successes of MOND at reproducing the phenomenology of…

Astrophysics · Physics 2009-10-08 Benoit Famaey , Jean-Philippe Bruneton , HongSheng Zhao

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

An account is given of the development, and the status, of the modified dynamics (MOND)--a proposed alternative to dark matter, which posits a breakdown of Newtonian dynamics in the limit of small accelerations.

Astrophysics · Physics 2007-05-23 Mordehai Milgrom

We test the modified Newtonian dynamics (MOND) theory with the velocity-dispersion profiles of Galactic globular clusters populating the outermost region of the Milky Way halo, where the Galactic acceleration is lower than the…

Astrophysics of Galaxies · Physics 2015-05-14 A. Sollima , C. Nipoti

We show that treating gravitation as a thermodynamical theory leads to the modified Newton dynamics (MOND) equations if one takes into account the Hubble's expansion. Then the universal MOND acceleration a0 is exactly twice the product of…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Peter V. Pikhitsa

The contemporary cosmic expansion is considered in the context of Modified Friedmann Dynamics (MOFD). We discuss some relativistic model exploring analogy to MOND modification of Newtonian dynamics. We argue that MOFD cosmologies can…

Astrophysics · Physics 2007-12-28 M. Szydlowski , W. Godlowski , J. Golbiak

We analyse the rotation curves and gravitational stability of a sample of six bulgeless galaxies for which detailed images reveal no evidence for strong bars. We explore two scenarios: Newtonian dark matter models and MOdified Newtonian…

Astrophysics of Galaxies · Physics 2016-08-31 F. J. Sanchez-Salcedo , E. Martinez-Gomez , V. M. Aguirre-Torres , H. M. Hernandez-Toledo

General analytic arguments lead us to expect that in the modified dynamics (MOND) self-gravitating disks are more stable than their like in Newtonian dynamics. We study this question numerically, using a particle-mesh code based on a…

Astrophysics · Physics 2014-10-13 Rafael Brada , Mordehai Milgrom

The LCDM model is the most commonly admitted to describe our Universe. In spite of a great success with regard to the large scale structure formation, some problems are still unresolved at galactic scales. Alternative scenarios have to be…

Astrophysics · Physics 2007-09-24 O. Tiret , F. Combes

Clusters of galaxies offer a robust test bed for probing the nature of dark matter that is insensitive to the assumption of the gravity theories. Both Modified Newtonian Dynamics (MOND) and General Relativity (GR) would require similar…

Astrophysics · Physics 2009-11-13 Priyamvada Natarajan , Hongsheng Zhao

Employing the Verlinde's hypothesis, and considering two well-known generalized entropy formalisms, two modifications to the Newtonian gravity are derived. In addition, it has been shown that the generalized entropy measures may also…

General Physics · Physics 2018-06-25 H. Moradpour , A. Sheykhi , C. Corda , Ines G. Salako

A new formulation of MOND as a modified-potential theory of gravity is propounded. In effect, the theory dictates that the MOND potential phi produced by a mass distribution rho is a solution of the Poisson equation for the modified source…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Mordehai Milgrom

Dynamics of spiral galaxies derived from a given surface mass density has been derived earlier in a classic paper. We try to transform the singular elliptic function in the integral into a compact integral with regular elliptic function.…

Astrophysics · Physics 2007-05-23 W. F. Kao

We present a novel solver for an analogue to Poisson's equation in the framework of modified Newtonian dynamics (MOND). This equation is highly non-linear and hence standard codes based upon tree structures and/or FFT's in general are not…

Astrophysics · Physics 2009-11-13 Claudio Llinares , Alexander Knebe , HongSheng Zhao

The properties of the recently discovered Ultra-Compact Dwarf Galaxies (UCDs) show that their internal acceleration of gravity is everywhere above a0, the MOdified Newtonian Dynamics (MOND) constant of gravity. MOND therefore makes the…

Astrophysics · Physics 2007-05-23 Riccardo Scarpa

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