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I consider the growth of inhomogeneities in a low-density baryonic, vacuum energy-dominated universe in the context of modified Newtonian dynamics (MOND). I first write down a two-field Langrangian-based theory of MOND (non-relativistic),…

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

In this paper, we investigate the recently proposed relativistic theory for MOND using the phase space analysis. Unlike its precedent theory, namely TeVeS, this theory is claimed to agree with the observed Cosmic Microwave Background and…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Tahere Kashfi , Mahmood Roshan

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…

General Relativity and Quantum Cosmology · Physics 2025-03-12 Jai-chan Hwang , Hyerim Noh

I describe the MOND paradigm, which posits a departure from standard physics below a certain acceleration scale. This acceleration as deduced from the dynamics in galaxies is found mysteriously to agree with the cosmic acceleration scales…

Cosmology and Nongalactic Astrophysics · Physics 2010-10-11 Mordehai Milgrom

A relativistic theory of modified gravity has been recently proposed by Bekenstein. The tensor field in Einstein's theory of gravity is replaced by a scalar, a vector, and a tensor field which interact in such a way to give Modified…

Astrophysics · Physics 2008-11-26 C. Skordis , D. F. Mota , P. G. Ferreira , C. Boehm

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

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…

Astrophysics · Physics 2008-07-09 Luc Blanchet , Alexandre Le Tiec

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…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-22 Pavel Kroupa , Marcel Pawlowski , Mordehai Milgrom

I describe a tensor-vector-scalar theory that reconciles the galaxy scale success of modified Newtonian dynamics (MOND) with the cosmological scale evidence for CDM. The theory provides a cosmological basis for MOND in the sense that the…

Astrophysics · Physics 2009-11-10 R. H. Sanders

The recently developed code for N-body/hydrodynamics simulations in Modified Newtonian Dynamics (MOND), known as RAyMOND, is used to investigate the consequences of MOND on structure formation in a cosmological context, with a particular…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-27 G. N. Candlish

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…

Astrophysics · Physics 2009-11-10 Arthur Lue , Glenn D. Starkman

We find a connection between relativistic Modified Newtonian Dynamics (MOND) theories and (scalar) mimetic gravity. We first demonstrate that any relativistic MOND model featuring a unit-timelike vector field, such as TeVeS or…

General Relativity and Quantum Cosmology · Physics 2025-03-17 Guillem Domènech , Alexander Ganz

I first give a succinct account of the MOND paradigm--emphasizing the centrality of scale invariance in the nonrelativistic, deep-MOND limit--and describing rudiments of its phenomenology. I then present my credo, and some generalities,…

General Relativity and Quantum Cosmology · Physics 2013-10-15 Mordehai Milgrom

We propose a new framework unifying cold dark matter (CDM) and Modified Newtonian Dynamics (MOND) to solve their respective problems on galactic scales and large scale structure formation. In our framework the dark matter clusters on large…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-04 Baojiu Li , Hongsheng Zhao

We derive the MOND cosmology which is uniquely corresponding to the original MOND at galaxy scales via entropic gravity method. It inherits the key merit of MOND, that is, it reduces the baryonic matter and non-baryonic dark matter into…

General Relativity and Quantum Cosmology · Physics 2012-07-12 Hongsheng Zhang , Xin-Zhou Li

A general account of MOND theory is given. I start with the basic tenets of MOND, which posit departure from standard dynamics in the limit of low acceleration -- below an acceleration constant a0 -- where dynamics become scale invariant. I…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-16 Mordehai Milgrom

We propose an alternative to particle dark matter that borrows ingredients of MOdified Newtonian Dynamics (MOND) while adding new key components. The first new feature is a dark matter fluid, in the form of a scalar field with small…

High Energy Physics - Theory · Physics 2015-06-22 Justin Khoury

Modified Newtonian Dynamics (MoND) is an empirically modification of Newtonian gravity at largest scales in order to explain rotation curves of galaxies, as an alternative to nonbaryonic dark matter. But MoND theories can hardly connect…

Cosmology and Nongalactic Astrophysics · Physics 2010-07-21 Nelson Falcon

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…

General Relativity and Quantum Cosmology · Physics 2013-05-27 Ehoud Pazy

We propose an alternative scalar-tensor theory based on the Khronon scalar field labeling a family of space-like three-dimensional hypersurfaces. This theory leads to modified Newtonian dynamics (MOND) at galactic scales for stationary…

General Relativity and Quantum Cosmology · Physics 2025-07-02 Luc Blanchet , Constantinos Skordis
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