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After a succinct review of the MOND paradigm--with its phenomenology, and its various underlying theories--I concentrate on so called modified inertia (MI) formulations of MOND, which have so far received only little attention. These share…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-30 Mordehai Milgrom

I revisit cosmological perturbations in Bekenstein's tensor-vector-scalar theory (TeVeS). Considering only scalar modes in the conformal Newtonian gauge, the extra degrees of freedom are expressed in a way suitable for studying…

General Relativity and Quantum Cosmology · Physics 2016-05-24 Martin Feix

The scale invariant theory is preserving the fundamental physical properties of General Relativity, while enlarging the group of invariances subtending gravitation theory (Dirac1973; Canuto et al.1977). The Scale Invariant Vacuum (SIV)…

General Relativity and Quantum Cosmology · Physics 2023-10-31 Andre Maeder

General Relativity is able to describe the dynamics of galaxies and larger cosmic structures only if most of the matter in the Universe is dark, namely it does not emit any electromagnetic radiation. Intriguingly, on the scale of galaxies,…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-28 Antonaldo Diaferio , Garry W. Angus

Practically all the full-fledged MOND theories propounded to date are of the modified-gravity (MG) type: they modify only the Newtonian, Poisson action of the gravitational potential, or the general-relativistic Einstein-Hilbert action,…

Astrophysics of Galaxies · Physics 2023-11-17 Mordehai Milgrom

The phenomenology of MOND (flat rotation curves of galaxies, baryonic Tully-Fisher relation, etc.) is a basic set of phenomena relevant to galaxy dynamics and dark matter distribution at galaxy scales. Still unexplained today, it enjoys a…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Luc Blanchet , Laura Bernard

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

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

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 use a specific form of the interpolation function in the MOND formalism, which optimally accounts for the internal structure of dwarf spheroidal (dSph) galaxies, to explore the consequences it has on the scaling relations seen in these…

Astrophysics of Galaxies · Physics 2010-03-04 X. Hernandez , S. Mendoza , T. Suarez , T. Bernal

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

The modified-inertia MOND is an approach that proposes a change in Newton's second law at small accelerations as an alternative to dark matter. Recently it was suggested that this approach can be tested in terrestrial laboratory…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Yu. Ignatiev

Modified Newtonian dynamics (MOND) is a hypothesized modification of Newton's law of universal gravitation to account for the flat rotation curves in the outer regions of galaxies, thereby eliminating the need for dark matter. Although a…

General Relativity and Quantum Cosmology · Physics 2024-05-28 Peter K. F. Kuhfittig

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

Non-spherical systems described by MOND theories of modified gravity arising from generalizations of the Poisson equations are affected by a MONDian extra-quadrupolar potential \phi_M even if they are isolated and they are in deep Newtonian…

General Relativity and Quantum Cosmology · Physics 2013-07-30 Lorenzo Iorio

A unique signature of the modified Newtonian dynamics (MOND) paradigm is its peculiar behavior in the vicinity of the points where the total Newtonian acceleration exactly cancels. In the Solar System, these are the saddle points of the…

Earth and Planetary Astrophysics · Physics 2015-06-03 Pasquale Galianni , Martin Feix , Hongsheng Zhao , Keith Horne

By the time, in 1937, the Swiss astronomer Zwicky measured the velocity dispersion of the Coma cluster of galaxies, astronomers somehow got acquainted with the idea that the universe is filled by some kind of dark matter. After almost a…

Astrophysics · Physics 2009-11-11 Riccardo Scarpa

MOdified Newtonian Dynamics (MOND) is evolving from an empirical to a decent theory respecting fundamental physics after Bekenstein (2004) showed that lensing and Hubble expansion can be modeled rigourously in a Modified Relativity. The…

Astrophysics · Physics 2009-11-11 HongSheng Zhao

The observed matter in the universe accounts for just 5 percent of the observed gravity. A possible explanation is that Newton's and Einstein's theories of gravity fail where gravity is either weak or enhanced. The modified theory of…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Pedro G. Ferreira , Glenn Starkmann

Bekenstein's model of a scalar field, \phi, that affects the electromagnetic permeability (usually identified with ``changing \alpha'') predicts tiny variations of the effective fine structure constant up to very high red-shifts,…

High Energy Physics - Phenomenology · Physics 2009-09-15 Keith A. Olive , Maxim Pospelov
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