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It is well-known that the application of Newtonian dynamics to an expanding spherical region leads to the correct relativistic expression (the Friedmann equation) for the evolution of the cosmic scale factor. Here, the cosmological…

天体物理学 · 物理学 2009-10-30 R. H. Sanders

I look at the growth of weak density inhomogeneities of nonrelativistic matter, in bimetric-MOND (BIMOND) cosmology. I concentrate on matter-twin-matter-symmetric versions of BIMOND, and assume that, on average, the universe is…

宇宙学与河外天体物理 · 物理学 2014-11-21 Mordehai Milgrom

I review various ideas on MOND cosmology and structure formation beginning with non-relativistic models in analogy with Newtonian cosmology. I discuss relativistic MOND cosmology in the context of Bekenstein's theory and propose an…

天体物理学 · 物理学 2009-11-11 R. H. Sanders

We study the evolution of a spherically symmetric density perturbation in the Modified Newtonian Dynamics (MOND) model applied to the net acceleration over Hubble flow. The background cosmological model is a $\Lambda$-dominated,…

天体物理学 · 物理学 2009-11-10 Slawomir Stachniewicz , Marek Kutschera

Cosmological models that invoke warm or cold dark matter can not explain observed regularities in the properties of dwarf galaxies, their highly anisotropic spatial distributions, nor the correlation between observed mass discrepancies and…

宇宙学与河外天体物理 · 物理学 2013-01-22 Pavel Kroupa , Marcel Pawlowski , Mordehai Milgrom

Galactic systems, and the Universe at large, exhibit large dynamical anomalies: The observed matter in them falls very short of providing enough gravity to account for their dynamics. The mainstream response to this conundrum is to invoke…

星系天体物理 · 物理学 2017-07-25 Mordehai Milgrom

After reviewing the modified Newtonian dynamics (MOND) proposal, we advocate that the associated phenomenology may actually not result from a modification of Newtonian gravity, but from a mechanism of "gravitational polarization" of some…

天体物理学 · 物理学 2008-07-09 Luc Blanchet , Alexandre Le Tiec

The effect of background dynamics of the universe on formation of large scale structures in the framework of Modified Newtonian Dynamics (MOND) is investigated. A spherical collapse model is used for modeling the formation of the…

广义相对论与量子宇宙学 · 物理学 2015-05-28 M. Malekjani , H. Haghi , D. M. Z Jassur

We examine the implications of Modified Newtonian Dynamics (MOND) on the large scale structure in a Friedmann-Robertson-Walker universe. We employ a ``Jeans swindle'' to write a MOND-type relationship between the fluctuations in the density…

天体物理学 · 物理学 2009-11-07 Adi Nusser

Based on Newtonian dynamics, observations show that the luminous masses of astrophysical objects that are the size of a galaxy or larger are not enough to generate the measured motions which they supposedly determine. This is typically…

广义相对论与量子宇宙学 · 物理学 2016-04-22 Chung-Ming Ko

This chapter presents Modified Newtonian Dynamics (MOND), the proposal that, below a certain acceleration scale $a_0$, dynamics departs from the Newtonian expectation. In that context, the determining factor for the emergence of apparent…

星系天体物理 · 物理学 2025-01-29 Benoit Famaey , Amel Durakovic

The cold dark matter paradigm has been extremely successful for explaining a wide range of cosmological phenomena. Nevertheless, since evidence for non-baryonic dark matter remains indirect, all reasonable alternatives should be explored.…

天体物理学 · 物理学 2007-05-23 Douglas Scott , Martin White , Joanne D. Cohn , Elena Pierpaoli

The observed dynamics of gas and stars on galactic and larger scales cannot be accounted for by self-gravity, indicating that there are large quantities of unseen matter, or that gravity is non-Newtonian in these regimes. Milgrom's MOdified…

天体物理学 · 物理学 2019-08-17 Anthony Aguirre , Joop Schaye , Eliot Quataert

Milgrom's modified Newtonian dynamics (MOND) has done a great job on accounting for the rotation curves of a variety of galaxies by assuming that Newtonian dynamics breaks down for extremely low acceleration typically found in the galactic…

宇宙学与河外天体物理 · 物理学 2011-06-01 Ling-Jun Wang

Modeling the structure formation in the universe, we extend the spherical collapse model in the context of MOND starting with the linear Newtonian structure formation followed by the MONDian evolution. In MOND the formation of structures…

天体物理学 · 物理学 2011-02-11 M. Malekjani , S. Rahvar , H. Haghi

Modified Newtonian dynamics (MOND) can be obtained by modifying the entropic formulation of gravity, this is achieved by considering the quantum statistical nature of the degrees of freedom on the holographic screen. Through this frame…

广义相对论与量子宇宙学 · 物理学 2013-05-27 Ehoud Pazy

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…

天体物理学 · 物理学 2009-11-13 Jacob D. Bekenstein

A candidate for relativistic MOND with successful cosmology was proposed recently by using a Lorentz-violating vector field in Einstein's gravity. We show that the dynamic nature of the vector field makes it challenging to realize the MOND.…

广义相对论与量子宇宙学 · 物理学 2025-08-12 Jai-chan Hwang , Hyerim Noh

A relativistic MOND theory, promising in reproducing cosmology as well as the MOND phenomenology in the low acceleration regime, was recently proposed. We present the post-Newtonian (PN) approximation and relativistic perturbation equations…

广义相对论与量子宇宙学 · 物理学 2025-03-12 Jai-chan Hwang , Hyerim Noh

Explaining the effects of dark matter using modified gravitational dynamics (MOND) has for decades been both an intriguing and controversial possibility. By insisting that the gravitational interaction that accounts for the Newtonian force…

天体物理学 · 物理学 2009-11-10 Arthur Lue , Glenn D. Starkman
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